BE1 - Objet Python

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BE1 - Objet Python#

Ce document est un carnet Jupyter qui peut être téléchargé depuis le serveur e-campus. Pour travailler les exercices contenus dans ce carnet il est nécessaire de disposer d’un environnent Jupyter, on utilisera celui disponible sur le serveur JupyterHub de l’université Paris-Saclay.

Objectifs :

  • prendre en main de l’environnement Jupyter

  • comprendre les concepts : type, nommage, muabilité,

  • comprendre et manipuler les objets numériques de bases et les objets conteneurs (chaines de caractère, listes, n-uplets, ensembles, dictionnaires, intervalles)

  • comprendre et utiliser les instructions simples (expressions, assignations, suppression, importation) et les instructions composées (conditions, itérations, répétitions)

Organisation :

Le carnet alterne des présentations de connaissances et des exercices pratiques structurés en partie, section et sous-section.

  • Si le titre de section commence par “⚙️ Exercice”, la section contient un énoncé à traiter, sinon elle contient des connaissances à lire.

  • Les titres contiennent une signalétique d’objectif à attendre, pour que chacun puisse adapter son travail en fonction de son niveau.

    • L’absence de carré coloré indique un contenu incontournable pour attendre l’objectif de la séance, les étudiants et étudiantes novices pourront s’y concentrer

    • 🟨 indique un contenu qui fait parti de l’objectif de l’ensemble du module, que les étudiants et étudiantes déjà familiers avec Python pourront aborder

    • 🟥🟥 indique un contenu qui sera utile pour la suite de la formation, les étudiants et les étudiantes à l’aise pourront y améliorer leurs compétences.

1. Prise en main du carnet Jupyter#

1.1 ⚙️ Exercice - À la découverte des cellules#

Cliquer à différents endroits de ce document pour activer tour à tour les cellules qui le composent et voir leur portée.

1.2 ⚙️ Exercice - Utilisation des cellules de code exécutable#

Cliquer dans la cellule ci-dessous, puis taper Maj+Entrée (la touche Maj est usuellement accompagnée du symbole sur les claviers anglais, elle est dénotée Shift), ou cliquer sur l’icône ▶ dans la barre d’outils en haut du carnet. Cela exécutera le calcul \(1 + 1\) et affichera le résultat.

1 + 1
2

Exécuter de même les cellules ci-dessous, en modifiant les calculs à effectuer de votre choix.

2 * 3
6
2 * (3 + 4)
14

Ici, les exemples de calculs ont volontairement été choisis pour être très simples. Bien entendu, l’intérêt de Python et de Jupyter est de donner accès à des traitements plus riches.

1.3 Exemple de code#

L’intérêt de Python et de Jupyter est de donner accès à des traitements élaborer comme des interrogation de base de données. Le code de la cellule suivante recherche des produits alimentaires contenant le mot “courgette” dans la base Open Food Facts et affiche les 8 premiers produits trouvés. L’objectif n’est pas de comprendre les détails du code, mais de monter qu’en quelques lignes de code l’utilisation d’un carnet Jupyter peut accéder et traiter et afficher des résultats à partir de données.

import requests  # Bibliothèque pour gérér les requêtes HTTP/1.1

# Interrogation de la base de donnée Open Food Facts
url = "https://fr.openfoodfacts.org/cgi/search.pl"  # URL de l'API 
params = {"search_terms": "courgette", "json": 1}  # Paramètres de la requête
data = requests.get(url, params=params).json()  # Récupération des données

# Affichage des huit premiers produits
for p in data["products"][0:min(8, len(data["products"]))]: 
    print(
        "{} - nutriscore {} ({})".format(
            p["product_name"],
            p["nutrition_grade_fr"].upper(),
            p["brands"] if "brands" in p else "inconnue",
        )
    )
Courgettes cuisinées à la provençale - nutriscore A (Cassegrain)
Poisson à l'andalouse riz safrané et courgettes grillées - nutriscore A (Marie)
Courgettes cuisinées à la provençale - nutriscore A (Cassegrain)
Purée de courgettes - nutriscore B (Créaline)
Purée délice - haricots verts, courgettes, épinards, pois, crème - 4 saveurs - nutriscore A (Bonduelle)
Les Tendres Carrés blé, petits pois, courgette & curry - nutriscore A (Céréal Bio)
4 Röstis de légumes et cheddar - nutriscore A (Picard)
Poulet & Purée de Courgettes pointe de crème fraîche - nutriscore B (Fleury Michon)

1.4 🟨 ⚙️ Exercice - Utilisation d’un code existant#

Interroger selon votre envie la base Open Food Facts en changeant la chaine de caractères “courgette” dans le code précédant. Les gourmands pourront interroger la base de données avec la requête “chocolat”, mais attention au nutriscore 😉 (indication : doublecliquer sur la cellule de code, en fin d’édition, appuyer sur les touches Maj+Entrée pour exécuter le code).

1.5 ⚙️ Exercice - Création une cellule#

Afin d’ajouter vos commentaires ou vos codes Python dans le carnet, la création (insertion) d’une nouvelle cellule se fait à partir d’une cellule existante et présélectionnée (par exemple celle-ci), en utilisant le groupe d’icônes qui apparait icones Jupyter

  1. sélectionner une cellule, par exemple celle-ci,

  2. cliquer sur l’icône icone 'insérer après' pour ajouter une nouvelle cellule après la cellule sélectionnée,

  3. sélectionner le type de la cellule créée à l’aide du menu déroulant situé parmi les icônes en haut du carnet Jupyter,
    sélection du type de cellule

  4. éditer le contenu de la cellule (3 exemples de contenus de cellule sont présentés ci-après).

Ci-dessous, un exemple de contenu de cellule est proposé pour les trois type de cellule : code, markdown et texte brut (raw)**


Cellule de code Python

# exemple de cellule de code Python
import sys
print(sys.version)

Cellule de texte riche (format Markdown, voir syntaxe)

#### Titre de niveau 4

Ceci est un paragraphe qui précède une liste à puce.

- un *mot* en caractères italiques
- un **mot** en caractères gras
- un lien vers une page web donnant la syntaxe markdown :
  [cliquer](https://www.markdownguide.org/basic-syntax/)

Cellule de texte brut (Raw)

 ,_     _                         
 |\\_,-~/                         
 / _  _ |    ,--.                 
(  @  @ )   / ,-'    texte brut   
 \  _T_/-._( (     pour conserver 
 /         `. \    la disposition 
|         _  \ |     des signes   
 \ \ ,  /      |        _         
  || |-_\__   /      __(.)⦟       
 ((_/`(____,-'       \___)        

1.6 ⚙️ Exercice - Modification des cellules de texte#

  1. Saisissez vos noms et prénoms et votre couleur préférée dans la cellule ci-dessous (Indication : doublecliquer sur la cellule de texte, en fin d’édition, appuyer sur les touches Maj+Entrée).

  2. Essayer de modifier la cellule où est écrit ce texte, vous constaterez qu’elle est verrouillée.

    Nom :

    Prénom :

    Couleur préférée :

1.7 ⚙️ Exercice - Affichage de résultats d’exécution#

Dans un carnet Jupyter, en fin d’exécution d’une cellule de code, si un objet est le résultat de la dernière instruction, alors il est affiché.

12 + 34  # addition de deux nombres
25 / 2  # division d'un nombre par un autre
5 ** 3  # exponentiation de base 5 et d'exposant 3
125

Dans la cellule de code précédente, on observe que son exécution génère comme seule sortie, le nombre 125, c’est-à-dire \(5^3\), le résultat de la dernière instruction.

Pour afficher plus de détails sur les résultats des instructions intermédiaires, il faut explicitement générer une sortie d’affichage, par exemple avec la fonction print(), une fonction native de Python.

Syntaxe : print(<expression_1>, <expression_2> ... <expression_n>)
Sémantique : en allant de gauche à droite, de l’expression <expression_1> à l’expression <expression_n>, la fonction répète les deux actions suivantes — 1. évaluation de l’expression, 2. affichage de la représentation textuelle de l’objet résultat de l’évaluation. Par défaut, un espace “ “ est ajouté entre chaque objet et un retour à la ligne conclut l’affichage de l’ensemble.

Exemples : </expression_n></expression_1></expression_n></expression_2></expression_1>

print("Bonjour", 12, 30 / 4)  # Affiche "Bonjour 12 7.5"
print("30 / 4 =", 30 / 4)  # Affiche "30 / 4 = 7.5"
Bonjour 12 7.5
30 / 4 = 7.5

Proposer une nouvelle version du code qui suit, afin que le résultat de chaque expression soit affiché dans la partie résultat de la cellule.

12 + 34  # addition de deux nombres
25 / 2  # division d'un nombre par un autre
5 ** 3  # exponentiation de base 5 et d'exposant 3
# Insérer votre code ici

1.8 ⚙️ Exercice - Navigation dans le carnet#

Les cellules de texte riche au format markdown contiennent des titres de plusieurs niveaux (titres, sous-titres …). Pour naviguer facilement au sein du carnet, JupyterLab propose une table des matières interactive. Pour la faire apparaitre sur le coté du carnet, il y a trois possibilités :

  • cliquer sur l’icone data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABwAAAAbCAIAAADganh7AAABNUlEQVRIx+3VsYqDMBgH8C9yXVxEC051ibi6F7K6FfoIUujQl/AJ3H0EpzyAo5vOtlAyOOmSxQ4pVBHsrfawR+i1k/dNyfIj8P8nQff7Hd46CCH0dhQAFPjA/KOfR/u+b5rmj+jXeNM0TRAEbdvudjtCCKW0LEsZRdO0w+EwjVZVdbvdAIAxRgip65oxJoMul8uH/o/L33VdHMdCiM1mgzGu6/p6vcqgi8XCtu1pdH6Vegiqbdsoijjn+/3ecZw8zznnMoqqqp7nTaPn8/l0OgFAmqaO42RZdjweJdN/imKMTdMUQriuCwDr9RpjLHnSp5WaefrDMCRJwjnfbreGYbx8o36mTykFAEVRfN+nlBZFIZl+GIbTqK7r48Vqteq6TvKV+i39y+UihLAsCyH0+i8970p9A66ljbhabpyTAAAAAElFTkSuQmCC dans la barre lattérale,

  • dans le menu général, sélectionner Table des matières (“Table of Contents” en anglais) dans le menu Affichage (“View” en anglais), ou

  • appuyer sur les touches Ctrl+Maj+K

Faire apparaitre la table de matière, et naviguer à travers le carnet, pour revenir à cette cellule intitulée “Exercice 1.6 - Navigation dans le carnet”

1.8 ⚙️ Exercice - Sauvegarde du carnet modifié#

Sauvegarder le carnet. Pour cela, il y a trois possibilités :

  • Utiliser le menu : aller dans le menu en haut de JupyterLab. Cliquez sur Fichier (“File” en anglais), puis sélectionnez Sauvegarder Notebook (“Save Notebook” en anglais) dans le menu déroulant. Cela enregistrera immédiatement les modifications apportées à votre carnet.

  • Utiliser un raccourci clavier : pour sauvegarder rapidement votre carnet, le raccourci par défaut est Ctrl + S.

  • Sauvegarde automatique : JupyterLab dispose également d’une fonction de sauvegarde automatique qui enregistre périodiquement le carnet. Cependant, il est toujours recommandé de sauvegarder manuellement les modifications importantes pour éviter toute perte de données.

Remarque : le fichier sauvegardé est enregistré sur la serveur JupyterHub et non pas sur votre appareil (ordinateur, tablette …). En fin de séance, pensez à télécharger le fichier sauvegarder

2. Objets Python#

2.1 Définitions#

Avec Python toutes les données sont représentées sous forme d’objets. Il s’agit d’une entité stockée dans la mémoire de l’ordinateur, qui possède :

  • une valeur - On dit que les objets a et b possèdent la même valeur si l’évaluation de l’expression de comparaison a == b retourne True (ou plus exactement un objet de type booléen et de valeur égale à True). Python ne dispose pas de méthode canonique pour accéder à la valeur d’un objet.

  • un type - Chaque objet est l’instance d’une classe que l’on appelle aussi le type de l’objet. Un objet conserve toujours le même type au cours de son existence en mémoire, on parle de typage fort du langage Python. La fonction native type() retourne le type (la classe) de l’objet passé en argument. On dit que les objets a et b possèdent le même type si l’évaluation de l’expression type(a) == type(b) retourne True

  • une identité - Chaque objet possède une identité unique qui ne change jamais au cours de son existence en mémoire, on parle d’identifiant. La fonction native id() retourne l’identifiant de l’objet passé en argument. On dit que les objets a et b ont la même identité s’ils ne font qu’un, c’est-à-dire si l’évaluation de l’expression id(a) == id(b) retourne True, c’est-à-dire si l’évaluation de l’expression a is b retourne True.

  • des attributs-données, éventuellement aucun - Les attributs-données, parfois simplement nommés attributs, sont des données de n’importe quel type qui caractérisent l’objet. Elle sont dites encapsulées dans l’objet. Pour désigner un attribut nommé nom_attr de l’objet obj il y a deux possibilités :

    • la notation “pointée” obj.nom_attr

    • la fonction native getattr(obj, nom_attr)

  • des attributs-méthodes, éventuellement aucun - Les attribut-méthodes, parfois simplement nommées méthodes, sont utiles pour définir des comportements spécifiques à l’objet, permettant ainsi une grande flexibilité et encapsulation des données. Ce sont des fonctions encapsulées qui s’appliquent à l’objet qui la possède. Pour appeler la méthode meth() de l’objet obj, il est également possible d’utiliser la notation pointée : obj.meth() avec éventuellement des arguments à transmettre entre les paranthèses.

La figure suivante, illustre graphiquement la notion d’objet Python. A droite, une version détaillée qui montre tout ce qui est encapsulé dans l’objet (sa valeur, son type, son identité, ses attribut-données et ses attributs-méthodes) et à gauche une représentation compacte avec juste son type et sa valeur.

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

2.2 Exemple d’objet#

Exemple de représentations graphique de l’objet "Bonjour", un objet de type str (chaine de caractères) de valeur Bonjour, qui ne dispose que d’un attribut-donnée __doc__ et qui possède de nombreux attributs-méthodes comme upper() ou split().

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

La valeur de l’objet "Bonjour" est la chaine de caractères Bonjour

Pour obtenir le type de l’objet, on utilise la fonction native type()

type("Bonjour")  # renvoie le type (classe) de l'objet "Bonjour"
str

Pour obtenir l’identité de l’objet, on utilise la fonction native id()

id("Bonjour")  # renvoie l'identité de l'objet "Bonjour"
1669253533680

Les opérateurs is et is not testent l’égalité des identifiants des objets : x is y est vrai si et seulement si x et y sont le même objet. L’identifiant d’un objet est déterminé en utilisant la fonction native id(). L’expression x is not y renvoie le résultat contraire de l’égalité des identifiants. Exemples :

"Bonjour" is "Bonjour"  # renvoie True
"Bonjour" is not "Bonjour"  # renvoie False

Pour obtenir l’attribut-donnée __doc__, commun à tout les objets de type str (chaine de caratères) qu’il documente, on utiilise soit la notation “pointée” "Bonjour".__doc__, soit la fonction native getattr(obj, nom_attr). L’attribut __doc__ est une chaine de caratères multilignes.

"Bonjour".__doc__  # renvoie l'attribut __doc__ de l'objet "Bonjour"
getattr("Bonjour", "__doc__")  # renvoie l'attribut __doc__ de l'objet "Bonjour"

print("Bonjour".__doc__)  # Affiche l'attribut __doc__ de l'objet "Bonjour"
str(object='') -> str
str(bytes_or_buffer[, encoding[, errors]]) -> str

Create a new string object from the given object. If encoding or
errors is specified, then the object must expose a data buffer
that will be decoded using the given encoding and error handler.
Otherwise, returns the result of object.__str__() (if defined)
or repr(object).
encoding defaults to sys.getdefaultencoding().
errors defaults to 'strict'.

Parmi les methodes de l’objet "Bonjour" on trouve les methodes communes à tous les objets de la classe str, comme upper() ou split().

La méthode upper() renvoie un nouvel objet de type chaine de caractère formé à partir de l’objet sur lequel on applique la méthode.

"Bonjour".upper()  # applique la méthode upper() à l'objet "Bonjour"
'BONJOUR'

La méthode split() utilisée avec la chaine sep comme argument, split(sep), renvoie une liste des chaines de caractères présentes dans l’oject et qui sont séparées par la “sous-chaine” sep.

"Bonjour".split("o")  # applique la méthode split() à l'objet "Bonjour"
['B', 'nj', 'ur']

Pour connaitre la liste des attributs et des méthodes disponibles pour un objet d’un certain type il y a l’incontournable documentation officielle en ligne du langage python (par exemple Méthodes de chaines de caractères) et il y a les outils d’assistance de l’environnement de développement intégré (IDE pour Integrated Development Environment en anglais). Ici nous utilisons l’IDE JupyterLab qui met en oeuvre la fonctionnalité de complétion de code.

La complétion de code est une suggestion de code à partir du début de l’instruction déjà saisie. Par exemple, après avoir saisi "bonjour"., JupyterLab s’attend à la saisie du nom d’une méthode de l’objet "Bonjour". À votre demande par l’appui sur la touche Tab ↹, la liste des suites possibles vous est proposée. Si une proposition est sélectionnée, le code correspondant est inséré.

Exemple : la copie d’écran ci-dessous montre l’effet de la saisie "Bonjour". + Tab ↹
data:image/png;base64,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

2.3 ⚙️ Exercice - Inspection par complétion#

Inspecter les attributs (données ou méthodes) que possède l’objet "Bonjour" en utilisant la complétion de code de l’environnement de développement (JypyterLab) sur les débuts d’expression suivant :

  • "Bonjour".u + Tab ↹ (une propositions)

  • "Bonjour".c + Tab ↹ (quatre propositions)

  • "Bonjour".is + Tab ↹

  • "Bonjour". + Tab ↹

# Zone de test pour la complétion

3. Types d’objets (classes)#

3.1 Principales catégories d’objet#

Python propose de nombreux types de données adaptées à chaque besoin de codages. On peut les classer :

  • par leur localisation (natif, bibliothèque standard, bibliothèques tierces)

  • par son contenu modifiable ou non (muabilité, mutability en anglais)

  • par l’organisation de son contenu (simple, conteneur, autre…)

Au regard de leur localisation, on distingue (dans ce BE on étudie uniquement les types natifs) :

  • types natifs disponibles dès le lancement de l’interpréteur Python
    exemples : les nombres, les chaines de caractères, les listes, les ensembles, les dictionnaires …

  • types de la bibliothèque standard disponibles dans toutes les distributions de Python, mais qui nécessitent le chargement d’un module avec l’instruction import
    exemples : les fractions (module fractions), les dates (module datetime) …

  • types des bibliothèques tierces disponibles après installation et chargement d’un module spécifique
    exemples : les figures (module matplotlib), les matrices de numériques de mêmes types (module numpy), les réseaux de neurones récurrents (module tensorflow)

  • types utilisateurs définis par le développeur avec l’instruction class

La muabilité des types d’objets se décline en deux catégories :

  • types muables (mutable en anglais) - la valeur d’un objet de type muable qui peut être changée sans que l’identité de l’objet ne change. Un objet de type muable peut avoir plusieurs valeurs successives au cours de l’exécution du programme.

  • types immuable (immutable en anglais) - la valeur d’un objet de type immuable ne peut pas être changée au cours de l’exécution du programme. Si ou souhaite une nouvelle valeur, alors il faut utiliser un autre objet.

Les types peuvent également se classer en grandes catégories de contenu, d’où découlent des méthodes d’accès de des méthodes de manipulations de leurs données :

  • types de base qui contiennent une donnée élémentaire comme les types numériques. Ces types de bases sont les fondations sur lesquelles sont construits les types de données plus élaborés comme les types conteneurs

  • types conteneurs qui contiennent une collection d’éléments

    • types ensembles qui contiennent une collection d’éléments en vrac (éléments non indicés)

    • types séquences qui contiennent une collection d’éléments indicés par des nombres entiers.

    • types associations qui contiennent une collection d’éléments indicés par des clés, des objets Python

  • types appellable comme les fonctions, les méthodes

  • types divers comme les fichiers, les modules …

Le tableau ci-dessous regroupe les principaux types natifs par catégorie

Immuable

Muable

base

- nombre entier int
- nombre flottant float
- nombre complexe complex
- booléen bool
- type vide NoneType

Containeurs de type
ensemble

- ensemble figé frozenset
  (itérable)

- ensemble set
   (itérable)

Containeurs de type
séquence

- chaine de caractères str
- chaine d’octets bytes
- n-uplet tuple
- intervalle range

(tous itérables et indiçables)

- liste list
- tableau d’octets bytearray

(tous itérables et indiçables)

Containeurs de type
association

- dictionnaire dict
  (itérable et indiçable par clé)

3.2 Exemples de types de base#

Voici quelques exemples de types (classes) de base du langage Python :

  • Les nombres entiers sans partie décimale
    type : int
    Exemples : 42, -3, 0

  • Les nombres réels avec une partie décimale
    type : float
    Exemples : 3.14, -0.001, 2.0, 1.602e-19

  • Les chaines de caractères
    type : str
    Exemples : "Bonjour", 'Python'

  • Les booléens
    type : bool
    Exemples : True (vrai), False (faux) qui sont les deux seuls représentants de leur type

  • Les “vides” ou les “absences de valeur”
    type : NoneType
    Exemple : None qui est le seul représentant de son type

3.1 ⚙️ Exercice - Inspection du type des objets#

En utilisant la fonction interne type(), identifier le type (classe) des objets renvoyés par les expressions suivantes :

  • '42'

  • "42"

  • 3 * 2

  • 6 / 2

  • 123.45

  • True

  • 1 > 2

  • None

  • print

  • print("Bonjour")

  • type(123.45)

# Insérer votre code ici

4. Variables (lien étiquette-objet)#

4.1 Définition d’une variable#

Dans le langage Python, les variables agissent comme des étiquettes ou des références à des objets en mémoire. Contrairement à certains autres langages de programmation (ex: C, Matlab…) pour lesquels les variables sont des boites (emplacements) contenant des données, en Python, une variable pointe vers un objet qui réside quelque part en mémoire. Une variable (étiquette) réfère (pointe) un et un seul abject ; à l’inverse, un objet peut être assigné à plusieurs variables.

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

La constitution d’un nom de variable est soumis à des règles impératives issues de la grammaire du langage Python et des conventions fortement recommandées pour faciliter la lecture du code par toute la communauté des développeurs.

Règles de nommage des variables

  • Utiliser uniquement des lettres, des chiffres, et des tirets bas : un nom de variable est composé de lettres (a-z, A-Z), de chiffres (0-9) et de tirets bas (_)

  • Ne pas commencer par un chiffre : un nom de variable ne peut pas commencer par un chiffre

  • Ne pas utiliser les mots réservés : les mots réservés du langage ne peuvent pas être utilisés comme noms de variables, exemples if, for, while, True, False, etc

Conventions de nommage des variables ([PEP8(https://peps.python.org/pep-0008/#function-and-variable-names)])

  • snake case : les noms de variables doivent être en minuscules avec les mots séparés par des tirets bas _, exemple nom_de_variable

  • N’utilisez jamais les caractères l (lettre L minuscule) ou I (lettre i majuscule) comme noms de variables à caractère unique, car ils se confondent trop facilement selon la police de caractères utilisée. Idem pour le caractère O (lettre o majuscule) qui peut se confondre avec le chiffre 0.

4.2 Instruction d’assignation#

L’instruction d’assignation, ou plus simplement l’assignation, construit l’association entre un nom (étiquette) et un objet. Une fois nommé, un objet pourra être réutilisé autant de fois que nécessaire dans le code. la syntaxe de base d’une instruction d’assignation est

nom_de_variable = expression

et la sémantique (comportement) de l’instruction est la suivante

  1. l’expression est évaluée et retourne un abject qui est situé dans l’espace des objets Python

  2. si l’étiquette nom_de_variable n’existe pas dans l’espace des noms, elle est créée

  3. l’objet est assigné à l’étiquette nom_de_variable, on dit que nom_de_variable réfère ou pointe l’objet

Exemple du comportement de 3 assignations successives

Numéro
de ligne

Code

Sémantique

Illustration

1

x = 305

- 305 est évalué, l’objet de type int avec de valeur 300 est créé et retourné
- l’étiquette x est créée dans l’espace de nom
- le lien de l’étiquette vers l’objet est établi

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

2

y = 305 / 12

- 305 / 12 est évaluée, l’objet de type float avec de valeur 1.5 est créé et retourné
- l’étiquette y est créée dans l’espace de nom
- le lien de l’étiquette vers l’objet est établi

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

3

x = y

- y est évalué, l’objet pointé est retourné
- l’étiquette x existe déjà, inutile de la créée dans l’espace de nom
- le lien de l’étiquette est redirigé vers l’objet

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

Remarques sur la situation en fin d’exécution des trois assignations

  • l’objet 152.5 est assigné à plusieurs variables ou réciproquement, plusieurs noms pointent sur le même objet

  • l’objet 305 n’est assigné à aucune variable. Il ne pourra plus être utilisé, et il a pour vocation d’être supprimé de la mémoire par un mécanisme interne à l’interpréteur Python : le ramasse-miette (garbage collector en anglais).

Les assignations peuvent prendre plusieurs formes en Langage Python :

  1. L’assignation de base (vue juste au-dessus)
    syntaxe : nom_de_variable = expression
    sémantique : l’expression est évaluée, l’objet résultant est assigné à la variable nom_variable.

    x = 10 + 2  # assigne l'objet 12 à la variable x
    
  2. L’assignation multiple permet d’assigner des valeurs à plusieurs variables en une seule ligne.
    syntaxe : nom_1, nom_2, ... nom_n = exp_1, exp_2, ... exp_n
    sémantique : la partie à droite du signe = est évaluée en premier et de gauche à droite, puis les assignations aux variables de la partie gauche se font à leur tour de gauche à droite. Cela donne la séquence suivante - évaluation de exp_1, évaluation de exp_2, … évaluation de exp_n, assignation à nom_1 de l’objet obtenu après l’évaluation de exp_1, assignation à nom_2 de l’objet obtenu après l’évaluation de exp_2, … assignation à nom_n de l’objet obtenu après l’évaluation de exp_n

    x, y = 305, "Bonjour"  # 305 est assigné à x, "Bonjour" est assigné à y
    x, y = y, x  # échange les objets pointés par les variables x et y
    
  3. l’assignation chainée permet de lier plusieurs variables au même objet.
    syntaxe : nom_1, nom_2, ... nom_n = expression
    sémantique : l’expression est évaluée, l’objet résultant est assigné successivement aux variables de la partie gauche dans l’ordre de gauche à droite.

    x = y = z = 10  # x, y, et y pointent toutes vers le même objet 10
    
  4. l’assignation augmentée permet de réaliser une opération et une assignation simultanément, ce qui est utile pour modifier la valeur d’une variable basée sur sa valeur courante.
    syntaxe : nom_de_variable ∴= expression
    ou ∈ {+, -, *, @, /, //, %, **, >>, <<, &, ^, |}
    sémantique : un assignation augmentée peut se réécrire comme l’assignation de base suivante nom_de_variable = nom_de_variable expression, et elle en a la même sémantique

    x = 355
    x -= 50  # équivalent à x = x - 50, x pointe maintenant sur l'entier 305
    

4.3 ⚙️ Exercice - Assignations#

Créer les objets “Bonjour”, 25 et -432 et les assigner respectivement aux variables (noms) x, y et z. En fin d’exécusion du code l’organisation de l’espace des noms et objets devra être celui la figure ci dessous.
data:image/png;base64,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

# Insérez votre code ici pour assigner x, y et z

Pour valider le code de la cellule ci-dessus, après son exécution, exécuter à son tour la cellule ci-dessous. Si rien d’apparent ne se produit, votre code est validé (valeurs et types sont corrects), sinon un message d’erreur apparait (une exception AssertionError est levée).

# Cellule de test de la cellule de code précédente
assert type(x) is str, "Le type de x n'est pas correct"
assert x == "Bonjour", "La valeur de x n'est pas correcte"
assert type(y) is int, "Le type de y n'est pas correct"
assert y == 25, "La valeur de y n'est pas correcte"
assert type(z) is int, "Le type de z n'est pas correct"
assert z == -432, "La valeur de z n'est pas correcte"

4.4 Instruction de suppression#

L’instruction de suppression détruit des noms (étiquette) et leur association des objets Python. Elle joue le rôle inverse de l’instruction d’assignation, elle est importante lorsque l’on souhaite libérer de l’espace en mémoire. La syntaxe de base d’une instruction de suppression est

del nom_1, nom_2 ... nom_n

et la sémantique (comportement) de l’instruction de suppression est : suppression de gauche à droite des nom_i et de leur lien avec les objets Python.

Exemple du comportement de quelques instructions

Numéro
de ligne

Code

Sémantique

Illustration

1
2

x = y = "Bonjour"
z = -432

- "Bonjour" est créé et assigné au nom x et y

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c3INu3b6eVK1eqLSPbKXjz+3Pq1CmVOxdvGjVqFFWpUkVhPQKBQL6Hr4qvry/16tVL7XyZI0eOEAA6ffq02mXGjx+vlLgWLFhAFhYWCqfC3pSbm0v29vYKRwfz588nfX19lTsDRNJt4NvbUnU8PDyoT58+hS4zZMgQsrGxUThzFBAQQFZWVoWeSvXy8lKqW1XiOnToEAEo9IxNu3btqE2bNgrTCktcx48fL/Q3fffuXRo5cqRS8ld5xTU3NxepqamFPt7k5uYGa2trbN26Fbm5uUr1eXh4IDAwEL6+vkrzCrug3rlzZ8TExOCff/6RT1u0aBG+/fZbtWXs7OyQl5en0MfsyJEj8PLyQvXq1dWWmzFjBgYMGCD/f+/evfDz84Ojo6PK5cViMRo2bIjr16+rrVPmwoULsLGxQf369dUu4+zsrDRt79696NSpE0xMTFSWcXBwgIeHh0IMDRo0QHR0NP7++2+VZSZNmoSVK1cWGfOb9am6kApAfuE2OjpaIWZTU1P069dPbZ3Ozs5o3749jhw5ojSvU6dOasu5uLjA0NAQjRs3Vjnf3t4e+vr6SE5Olk8TiUSoW7cudu3ahbS0NKUyYrEYgYGB6N69u9r1apOJiQl8fX0LfbzZoED2vdy0aZPC5/JmfRs3boS/v7/SvMIaU/j7+yMvLw937tyRTxsyZAgmTJigtoy1tTUAaSMhmRMnTqBSpUqF3rNs8uTJ+Omnn+T/Hzx4ED4+PmobEgBAkyZNcPv2bbXzZa5cuQKhUIiWLVuqXcbKykpp2sGDB9GqVSu1jSD09fXRoEEDhRhatmyJvLw8LFiwABKJRKlM7969sXbt2iJjDgkJwZMnTzBo0KBClxs8eDCSkpIUPiMAsLS0LLRhVvPmzYu1HTtw4ABcXV0L7ehe3M9BpmHDhjAxMcGSJUuQnp6uNL9u3brYuHGjUiMRla0K/fz8StSPy8jICL/++isGDx6M6tWr44svvkDXrl3h6+v7Xq22ZF/UyMhIpRaDRISgoCAEBwfjxYsX8i/GtWvXlOqJiopCjRo1Cl1X+/btFf5//PgxXFxcMH36dLVlEhMTi9UJ+9mzZyoTU2Gys7MRFRWFqKioQmPIzc2Vt9oBgGHDhuHYsWPo2rUrunfvjr59+6JTp07v3H+isM9P1sovLy9PPu3JkyeoXbt2kS2mGjRooHKIq8Ja5YlEIujr60MkEqmcLxAIIBKJUFBQoDB98+bN6NKlC6pVqyb/brZo0aJYLci0zdXVFUuWLClRmf/973/o3r07PD090bNnT3Tt2hUdO3Z859Z3sjgAacuwt2VlZeHUqVO4e/cukpKSkJOTAwAKO5wyMTExcHd3L3Rd1atXV9jJfPr0KVJTUxV2LN8WFhaGFy9eFPk6oqOjYWNjU+LP/unTp0hPTy8yhjdbKLdp0waLFi3C7Nmz8eeff6Jfv37o0qUL/Pz8StRhPDIyEgBQu3btQpeTzY+IiECTJk2KXb+Liwvi4uIgkUjU/rYA6XYsNze30PcgIiICr1+/Rk5OTrFaa1tbW2Pnzp347LPP4ObmJn+P/P39YWpqqracxprD9+zZE6Ghodi4cSP27NmDefPmoXLlyujWrRvGjx9f6NGGOrKN7evXrxWmBwYGYtq0aYiNjUXNmjXh4uIi36OIiopSqiclJUXtkZM6SUlJsLW1xdOnT9Uu4+npWayEkJ6eDnt7+xKvH5A2fS0shoYNG6JWrVry/w0MDHDgwAEcOnQI27Ztw4QJE5CWlob69etjyJAhGDlypNojOE148eJFsZrJV6pUCRkZGcjLyyv1BOLr64uHDx9i8+bN2Lt3L1auXAljY2N06NABY8eORbt27Up1/WWtRo0aCA4Oxt69e7F//35MnjwZKSkpaNSoEQICAvDpp5+WuNm+7OgpIyNDYfqvv/6KqVOnIj8/H61atYKrq6v8iOXNI1+ZtLS0Eg8h9OLFC1hYWKg8EpLx8/ND8+bNi6wrMzOzxDtxBQUFSE1NRY0aNQqNoX379kp1z5gxA/369cPvv/+O48eP48cff4SJiQn69euHadOmFXoWSEZ2hquoJu+y392rV6+KrPPtckSEzMzMQo+6X7x4AXNz80Lfg4YNG6Jhw4YlWn/37t0RHh6O7du348iRI/j4448hkUjQoUMHTJkyBa1bt1Yqo9F+XK6urli4cCEWLlyI+Ph4HDt2DOvXr0ejRo2wZMkSTJkypUT1yTbebx7mbtq0CaNHj8bUqVMxadIkpYSwbt06pUNlsVgs3wssLtmXa9asWSUqp4pYLC7xl0mWXMaOHYshQ4aUqKxAIECPHj3Qo0cPSCQS3Lx5E/v378fs2bOxZs0anD59utDTLu/DxMREaUdDlYyMDIjF4jI76rG2tsa0adMwbdo0pKam4uTJk9i6dSvat2+P0aNHY926deWqD9b7MjIywuDBgzF48GAUFBTg5s2b+OWXXzBs2DAcPHgQgYGBhe5dvy0hIQEAFHZ6fvvtNwwfPhwLFizAhAkTlPaQDx06hL179ypMMzMzK/ZYqDJWVlZo2LChRkYQMTU1RUpKSonKCIVCmJubo2vXrvjuu+9KvE5PT08sWLAACxYsQHJyMv7++28sXrwY9erVw4EDB9ChQ4dCy8uSiapTaW+SnQovTh/YNyUmJkIgEBS5Q2tlZQUbG5tSGcmlcuXKmDRpEiZNmoSsrCycO3cOK1asgL+/P5YsWYJvvvlGYflSGznDwcEBX375Ja5fv44RI0bgm2++waNHj0pUR2xsLADIO7bl5+dj5syZGDFiBJYuXVrsoxhnZ2eVR2KFcXV1xePHj0tUprD1qzrFUhhra2uYmpq+dwwikQhNmzbF0qVLce/ePbx+/Rrjx49/rzoL4+bmVqzP+eHDh8XuMK5pVlZWGDBgAI4ePYrly5djw4YNOHTokFZiKQtCoRBNmjTB5s2bsWHDBuzbtw+HDx8uUR2y7++bn9nixYsxcOBAfPfdd4We1nlT1apVCz2DoK7MgwcPSlSmsLoSEhIUTm+XZQyVKlXCkCFDcOvWLXh7eyMgIKDIMrKjsvv37xe6XHBwMAAUeSr2bbGxscXqjK/Jz6EwxsbG6Ny5M06cOIEvvvgCM2fOlO84yWgkcR07dgxr1qxROU8gEGDKlCkgIpUXAIlIbb2XLl2ClZWVvDd9QkICkpKSCr2w+vLlS6VpLVq0wN27d1WeupCZOnUqevbsKf+/S5cuOHLkSJF7OcXh5+eH6OjoQpOXqsEsu3TpgsDAQKVrNurk5uZi6dKluHHjhsr57u7u6NevH65evVq8wN9B+/btkZCQgEuXLqldJisrC0ePHkXXrl1LLQ6ZmzdvYunSpWqPuL/66isYGxurvDZaUufPn8dvv/323vW8j6NHj2L06NEqG0kBwKeffgo9PT35Ru5NhW3MT58+DSMjIzRo0ACA9PRZREREodddZDueb2rTpg2Sk5PVfkcBYPr06Qqn9nv16oWbN2/KR3x4Hy1btoREIsGFCxfULvNmY5I3Yzh8+HCJjtYmTZqkdsw/Y2NjDBw4EE+ePFE6/fo2Ly8vuLm54Y8//ih0uR07dsDV1VX+GclkZGSoHSy3oKAA586dK9Zp1l69eiEsLKxYDTneVNiZjJ9//hmLFi1SO//LL79EXl4eQkNDFaZrJHHdu3cP48ePR3h4uMr58fHxAKDy2sfmzZtVlomJicEff/yBwYMHy09pWFhYQE9PT+lUoExERASWLVsGQPFH+Mknn8DAwEDtRe7k5GRs375doQHHyJEjkZOTo3SI+qaDBw8Wmgxl+vfvDyMjIyxevFjl/MjISOzfv19puuw9lb0mVXbu3InMzEwA0pZNy5cvx8KFC9UuHx8fX+g56vfVtWtXVK9eHV9//bXaZDFnzhxkZmZixIgRpRaHTFxcHKZPn46TJ0+qnJ+SkoKcnJxiXZcrytWrV7Fnz573rud95ObmYuPGjWqPIB89eoT8/HyV13x//PFHla3f4uPjsWnTJgwYMEB+2kooFMLBwQHnz59Xu57Zs2cDgML34KOPPoK3tzdmzJihcl0pKSnYuXOnQivP/v37o2rVqhg2bJjKpAIA27ZtU7tdeFObNm3g6emJuXPnqtyYR0ZGqjwVNnLkSOjr62P06NEq4waAVatWKRxN3rp1C/Pnz1fbgCskJARWVlZFXvMTCASYNm0a9u/fr/ZzPX36NHbu3IkpU6YoJYrnz58rtNJ802+//YaoqCgMGzas0BgA6Y60j48PRo8erfZyQGBgIC5fvqwwTba9ebs1OiBtkzBv3jy1Z8RkR3hK39e3283XrFmTevbsSSkpKUU+ZL20X7x4QU5OTuTt7a3UHv/y5cvk4eFB7u7uCn0JZP24HB0dadq0aQr9Q0JCQsjHx4dsbGyUetAPGjSI9PX1acuWLfK+WllZWbRlyxaqXLmyfGikt/sebdmyhQQCAc2ZM0dhiJ/79+9T06ZNqWrVqvT8+XOFMps3byaBQEDDhg1TmJeamkrfffcdGRoaKvSHKcxPP/1EAoGA5s+fL38fCgoK6NixY1SlShXy8PBQOXKGrPf4d999R69evZJPT0hIoBEjRpCFhQWFhITIp69Zs4YA0JQpUxT696Snp9O8efMIAC1btqxYMffp04eaNWumdn5wcLDKzrs3btwgExMTateuncJoC2lpaTRlyhQSCAS0atUqhTKyflwrVqxQu75Zs2aRqalpoTEbGRkpdFrPzc0lX19fsrGxoUOHDil0YA0NDaVmzZqRubm5yk6iJbVo0SKVoxC8q44dO5KPjw/dunWryIfss87Pzyd/f38yNzen9evXy0cpyM7Opr/++ovc3d2patWqCv2RZP24atasSR06dKCbN2/K36eLFy+St7c32draKnU0/uGHHwgAjR49mp49e0b5+fn07NkzWrp0KVlZWdGAAQMIAJ0/f16h3I0bN8jU1JS6desm/+7m5ubS2bNnqX79+uTm5iYf4UHm2rVrZGlpSY0bN6aLFy/K43v69CmNGzeODA0NVY6Yo8rp06dJX1+fevToQQ8fPiQi6Xdzx44d5OTkRE2aNFE5csaBAwfI0NCQOnfuTHfv3pVPf/DgAQ0aNIgsLCwU+jhdvHiRDA0NqX379nTjxg359jImJoamTp1KAArtk/qmgoIC+vjjj8nIyIiWLVsm/7zT0tLo559/JhMTE+rZs6dSx+CAgABydnYmDw8PmjhxIoWHh5NEIqG0tDRatWoVGRoa0sCBA5XWp27kjODgYLKxsaE6derQ6dOn5euLioqiadOmkYGBAe3bt0+hTFJSEhkaGtInn3xCGRkZlJWVJf/84uPjydHRkWrUqEGHDh2SD0aRlpZG69atI7FYTD169FCKQ2XigorxpVQ93kxS4eHh1Lp1a/k4XHXq1JGPOdW8eXOKiIhQWI8scV2+fJk6duxIBgYG5O3tTZ6eniQQCKh69eoKXw6ZtLQ06tKlCwEgY2NjcnFxIZFIRHZ2drR9+3a6fPkyAVDZoXTr1q1kbW1NYrGYfHx8yMnJiQDQRx99JB965m379++nqlWrkp6eHtWsWZO8vb3JwMCA3N3dC+3EqMqCBQtIX1+fxGIxeXp6koWFBVlYWNC2bdto0qRJascq3LhxI9na2pKRkRHVrl2bqlevTiKRiOrVq6dy7MF169aRlZUVGRgYkIeHB3l7e5ORkRGJxeJCx49727smLiLpxrBOnTokEAjIw8ODatWqRYaGhuTo6KhyjLbSSlxE0h2rfv36kVAoJCsrK/Lx8SFnZ2cSCATk7e1N169fL7TO4lq4cCF169ZNI3URSRNXcX+Lu3btkpdLT0+nCRMmyMeJlI0lJxQKqUePHko7dbLEdfLkSZoxYwaJxWIyMDCQjx/o6+ursHMkU1BQQHPmzJEvJ3tUr16d9u/fT/Hx8QSAfvrpJ6Wyt27doiZNmsjHpNPT0yM9PT0aMGCA2k7/YWFh8jE4DQ0NSSwWEwBq2LBhoQMZqHL06FFydnYmAKSnpycfQ2/37t20YsUKtWMVXr16Vb5zLBaLycjIiAQCAbVt21aeBN905coVaty4sXw9ss/ExsbvyGYEAAAgAElEQVSm0M7bquTn59OiRYvI0tKSAMj/VqpUiebOnatyTL+AgABq0KABRUVFUZcuXUggEMhfr56eHo0ZM0blKDSFjVX47Nkz6t27N4lEIjIwMJC/Jh8fH7U78kuWLCGBQCAf8/XNHZPIyEjq1asXiUQi+ViKsu37uHHjVHaeFhApXmQKCQkp9g0ivby8lFqihIWF4caNG3j9+jUcHBzg7e0Nb29vpbL79+9Hnz59EBERAXd3dzx8+BA3b95Eeno6atSogdatWxfa1yEkJAT3799HWloaPDw80KpVK+jr6yMnJwcPHjyAi4uLymavWVlZOH/+PJ4+fQpTU1M0btwYXl5ehb5OiUSCS5cuITw8HCKRCJ6enmjWrNk79VGLj4/HmTNnkJaWBldXV7Rt2xZisRixsbF4+fKlQtP2N+Xk5OD8+fOIjIyEkZERatWqpbJDt0x2djYuXryIiIgI6Onpwc3NDQ0bNoSFhUWxY42IiEB+fr7aPnBZWVkIDQ2Fp6enyqa6RITbt2/j/v37yMvLQ7Vq1eSfk6pl79y5o/ZzA6Sn/RITEwvtWhEUFAR7e3uVdyWIiorClStXkJycjMqVK8PT0xP169fXWGvCRYsW4erVqxpr6JGenl7sRgQmJiZKfecyMzNx7949pKSkwNbWFh4eHipPE9+6dQuNGjXCuXPn0Lp1a2RlZSEoKAhpaWmoUqUKatasWei6MzIyEBYWhqSkJFStWlXh95SamgojIyO1HWAjIyPx6NEjGBoaolatWrCxsSnytcbHx+Px48fIy8uDu7t7iRsjyEgkEty+fRvJycmwt7dH3bp1IRQKkZOTg6ysrEJPH//zzz/yEeo9PT2VRkZ/W1RUFB4/fgyJRAI3Nze4u7u/880/8/LyEBQUJI/b29sbRkZGKpfNzMyERCKRn+KNjY1VGB1e3d0aRo8ejTNnzhTaOCwpKQlhYWHIzMyEu7t7kSP7yz5rW1tb+Pj4KL3+5ORk3L9/HxkZGXB1dUW1atXUnkZVSlxl5e3ExZiuW7hwIa5fv46//vpL26GUyNuJi7ERI0bg4sWLGmkQUxr4RpKMaQiVs/txMfauoqKiSjzaT1nixMWYhjRr1gx9+/bVdhiMvRPZybdjx47h9OnTaNq0qZYjUk/jd0Bm7EPVtm1bbYfA2Dvz8vJCUlISUlNT0ahRI0ydOlXbIamltWtcz58/R3BwMJo3b/7et5RnjL27nJwcxMbGwtHRUe1FflbxXblyBU+fPoWHhwcaN278XgOklzatJS7GGGPsXZTflMoYY4ypwImLMcaYTuHExRhjTKdw4mJMQ0JCQkp15H3GmBQ3h2dMQ3bu3Inw8HD4+flpOxTGKjQ+4mJMg3jkDMZKHycuxjSEe5YwVjY4cTGmITxWIWNlgxMXYxrCiYuxssGJizEN4cTFWNngVoWMaYiHh0eJbtTJGHs3PFYhY4wxncKnChljjOkUTlyMMcZ0CicuxhhjOoUTF2OMMZ3CiYsxxphO4cTFmIbExMQgMjJS22EwVuFx4mJMQ5YtW4YFCxZoOwydc+7cOcTHx2s7DKZDOHExpkE8ckbJ9e7dGydPntR2GEyHcOJiTEO4Lz9jZYOHfGJMQ3iswv8QEc6ePYvQ0FAUFBTA09MT/v7+MDIyAgDk5ubiwoULAID8/HyEhITg1KlTMDc3R+PGjQEAERERePnyJXx9ffH48WMcP34choaGGDlypNZeFysfOHExpiGcuKSioqLQs2dPJCYmolmzZgCApUuXAgB27dqFFi1a4PXr15g+fToAICsrC4GBgTh9+jS8vb2xfft2AMDWrVtx7tw5DBw4EJMmTUKNGjXg5OTEiYtx4mJMUzhxSfXt2xdubm64du0aDA0NAUiT08iRI9GrVy88ffoUlSpVwq1btwAAVlZWmDdvHj777DOlup48eYKNGzciODgYXl5eZfo6WPnF17gY05DKlSvDxsZG22FoVXJyMm7duoVx48bJkxYAGBsbY/Xq1UhNTcX58+eLXV9iYiL++OMPTlpMAR9xMaYhc+fO1XYIWmdubg4zMzPcvHkT/v7+CvMsLS0hkUhKVF/dunVRu3ZtTYbIKgA+4mKMaYy+vj6WLVuGWbNmYfDgwTh8+DAyMzPfuT5jY2MNRscqCk5cjDGNGjlyJG7evAkXFxdMmTIF1tbW6NChA3bv3s1dBphGcOJijGlcnTp1sGTJEoSFheH+/fto1aoVRo4cif79+6OgoEDb4TEdx4mLMVaqPD09MXPmTJw4cQJ79+7F6dOntR0S03GcuBhjGvO///0P7du3VzmvUaNGsLKywrNnzxSmC4VCPgpjJcKJizGmMXXq1MHZs2exbds2pXmHDx+Wj4TxJnt7e6VkxlhhuDk8YxoyYsQIiMVirFq1StuhaE2dOnWwZs0ajBo1Cn/88QeaNWsGfX193LlzB4cOHcKcOXOUElefPn2wfPlyZGRkwMTEBPPmzdNS9ExXcOJiTEO4xZzUmDFj0KlTJ+zbtw8RERHIzs5GvXr1sGTJEnh4eCgtP3fuXNjb2+PGjRsKI4906NAB1atXL8vQmY4QEP/aypeUKCD4sHbWXdkNqN1ZO+uuAIYNGwYzMzOsXLlS26EwVqHxEVd5kxwJnFurnXXX8OfE9R54rELGygYnLsY05ENOXKFpT/HZlZnaDoO9pxm1hqGvaztth1EkTlyMaciHnLgy8rNwO+WhtsNg7ykpJ1XbIRQLJy7GNOhDTVxv+syjO6wMzLUdBiuB9WGByC3I03YYxcaJizENWbt2LYRC7hr5lfdAeJi7ajsMVgK/PN7HiYuxD5GJiYm2Q2Dsg8C7h4wxxnQKJy7GGGM6hRMXY4wxncLXuHRRpSqAhaP0+fNwIP2F8jKmlQDbf4fLeZUAvOBBTBl7V0mJzyGRSGDv6KDtUBg4cekoAfDJWkDPEHh6Dfh9mPIiPb8HPFsBBRJg88CyD5GxQuzesQvTxk1ROU9sYgLPGp74qEsHfD5yKExMtdvoJfJpJPxqNUKBRILTN8+jdl0frcbD+FShbkqOBM5vkD53bwp4v3X/I6+20qQFAJd+AeJDyzS8D9XEiROxbNkybYehE3JzcvEy9aXKR1xMLM6fPoeZX3+LlnWbIvqfKK3G+jI1FTnZ2cjLy0NKcopWY2FSnLh01eUtQFyI9Hmn6YC+kfS5vhHQcZr0+YtnwIWN2onvA5SQkIDUVN0YeaC8EJuIkUKv5Y/kglcIi3+C5RtWwczcDJFPIzFx5HitxljPtz4OnD6MPcf2o1Xb1lqNhUlx4tJVBRLgr1mAJB+wcACaD5VObz4MsHIGqAD4azaQn6PdOD8gFW3Ip8zMTNSpUwczZ85EQkJCmaxTIBDA1t4OX4waijlL5gMAzp08gxdJKq7jlqFWbVujbUfVd3ZmZY+vcemyhEfAld+AliOkCSvy5n8J7MZOIOqOduP7wFS0xCUWi+Hr64tFixZh27ZtqFKlCoYOHYpBgwbB2Ni41NfftIUfAOn7Gv1PFCrbVFZaJiszEwd278fDBw/x+tUrODo74aMuHVDPt77KOv/8/Q/kZOegS69usLK2wt9/HcW1i1eQmZkJJxdn9B3UH27V3BTK5ObmYufWHQCAbn16oFLlSkr1Zmdl/RtHKF6lvYKDkyM+6tIB9Rs2UBnHjl+3Iz8/H+06tYezq4vS/L/2HEBqSioaN2sC79o1AQCvX73Gvj/3AAAGfTEYofdDsH/XXmRnZWP8NxPh5OKs7q2scDhx6brz66XXuCq7AZ/+Aoj0gJdxwJkP9y682lLREhcATJs2DUeOHEFMTAxiYmJw8+ZNLFq0CDVr1sTkyZPRunXrUnvNSYnP5c9VJa3jh48h4ItRStedFs/+Hj3798ba3zZAbCJWmDdz8gykJKdAbCLG2p9WIzjonsL8ZQuW4tfA39GlZ1f5tKzMLEwaJT1dWb9RA6XEdfLocYz9fBSSXyQrTF8yZyF69OuFtb9tUGpgMvWrr5GdlYU/D+9RmbiWzluMhw9CsXjVD/LElfQ8SR5H2ss0LPh2LiQSCQCgZ//enLiYDsnPAQ58Bwz7nzRpAcDhuUBORomruvfPC6wbNUqz8X1A7ty5g6dPnyIxMVHboWhUTs5/p5tzc3MRERGBiIgIHD9+HI6OjujYsSM6je2j8XX+MH8JAKBxsyZwqaI49uGpv09gSK+BkEgk6NyjCz758lNYWlni+uVr+PmHFTi4ez9Sk1Ow98RBiEQipfonjBgHcwtzzFo0F55e1RETFY21P61GbHQMJgwPQNsObWFUjKPK08dO4pMeH0MikaBjt04YMuxzWFpZ4saV6/j5hxX4a88BpLxIxv5Th1TG8a7mz5gDGztbtO3QDqZmprCzt9NY3bqAE1dFkJ4E5OdKG2ZI8qRHXO8g8sVrbNq0S8PBfXju3PkwTtHm5uYiMTERp06dgnGtSoB1yeuQ5EuwbdNv8v8LCgoQFxOLwP/tQvQ/UXCt6ooN239RKJOdlYUJI8ZBIpHgi1FDsXzDf2cXmrdugQ5dO6KDXztcOHMev2/eii9HK3cXsbWzwbHLpxT6ZbVu1wYt6/oh+UUygm4Fwa9ls0Jjz8nOlsfx2YgvsHLTapVxXDp3EVs3/ophY0eU+P1Rp3V7f+w4sLNYybUi4sYZFUG3uf+1KhTpA70WAsKS79319HUDEfHjHR8RERGIjY3VehyafKSkpMDFRfFUlpGRETw8PNCnTx+cOnUKT548wSeffPJOX92cnBxMGjVe/vh6zET8tPBH+TWtHQd3oap7VYUyxw8fQ3xsHMzMzbBg2SKlOmvX9cHoCWMAAL+s3aRyvVNnTVfqTOxduyYcnZ0AAM8iiu6wf+LIccTFxMLE1ERlHLXq1MaYiWMLjeNdff/Tog82aQF8xKX76vcBPJpLn59dA7QZCzjXBRp/Alzbrt3YPjDu7u7aDkHjduzYgYSEBAiFQjg7O6Nq1aoYPXo0+vbtCwMDg/euX19fH2Mnf6UwLf11Ou7cvIOgm7fh79sSq39dh48/HSSff+bEaQCAX8tmajsnd+reBSuXLEdYyEMkv0hWui5lamaqslxlm8qIiYpGyouiWzHK4mjaohnMzM3UxrF80TI8Cg1D0vMk2NjaFFlvcahb34eCE5cuM7MBOkyVPg89IW2oYeEANOgLtJsIPD4PpGi38ybTXTk5OVi4cCFq166N3r17Y8yYMahcWbmRxPvQN9CXN3t/2/oVa/Dd5BkYN3QsGvk1gbuHdMcgLkZ6KlxVowYZ2VEaESE2OkZlS8DCEBW9zH9xqG8UUeWNo8XY6BiNJa4PHZ8q1GVdZwHG5kBeNnDiR+m0kz8BmanSU4c95gOoWK3cWNkRiUS4dOkS7ty5g1mzZmk8aRVl9MQAuHu4Iz8/Hzt+/V0+PSszEwBgYWmhtqyBoaH8eW5ObqnEJ4vD0spS7TKGZRDHh4gTl67y6Qp4tZM+P7f2vwYZWWnA6X8vVldtBPj20058TOfp6emhWrVqWlu/QCBAde8aAICI8Aj5dCtrKwD/HfGoEhMVLX9uW0ot7spLHB8iTly6SGwlHeYJAJIigGu/K86/sxeIvit93mEKYGFftvExpiGJCdK+XGLxf/2x6v7bufjBvftqy92/GwwAsK5kDUdnx1KJrSRxWFpZwsnFST5dX196lSYzo+TdVhgnLt3k2VI6SkbIceDQHOmwT2+iAuDo99L5Ty4DHi21Eydj7+HGlesIviPdAWvcrIl8eq/+vSEUChES/ABn/20g8SaJRIJNP0sHoe7etyf09ErnUn7Pfr0gFArx8EEoTv19QmUcG1etByAdcUNfX18+z85BujP58IHyANhJic8RGx1TKjFXFJy4dNG9v4Ddk6WPqCDVy8Q//G+Z27vLNr4P1KxZs/DHH39oOwydUlBAiHwaqfAIunkbq39chYHd+kEikcCliisGDPnv1jweNTwxeOinAIARnwzFuZNn5PNSU1IxcvAw3LtzFxaWFvhm9vRSi71adQ98OvxzAMCoIcNx5vgp+byXqS8xashw3L0dBDNzM0ybM0OhbIs20p3JX9f/gqBb//X7C7p5G/0798GrtFelFndFwK0KGdOQoKAghVNarGjZWVloUE39/a2qeVbD/w78qTR005JVPyA2OhZnjp9Cnw494ejsBEsrS0Q8foKcnByYW5hj6+7tcHAqndOEMotWLEFMVAxOHzuJfp16w8HJEVbWVgpx/Bb4u9JwTOOmTsTenbuR/CIZ7Rq1ho2dLbIyM5H+Oh1iEzFs7e3wPKFijcCiSZy4GNMQooo3VmFpsa5cSe1AuMZiY7hWrQL/Dm3Rs39vhZZ5/y0jxq4je7D9l23Y/ss2PLh3Hwlx8XBwckTnHl0wdvI4pY7LgLRz8qu0V2pbAsoag9ja2xbrdRiLxfjz8G78b8vv+P2XbQi5dx+J8QlwcHJEp+6dEfD1eJVxuFVzw9GLJzBv+hxcPHMeSYnPYWFpgR79emH63G/xy9pNuHPjtkLzeUNDA/l7pok+dLqMExdjGsKJq/g69+iCzj26vFcdIpEIX4waii9GSe+IkJubW+QG/cDpw4XO37B98zvF8fnIL/H5yC+LHQcgHVkj8OheANI+c28m6GXrVigt7+TijDO3LpQ4voqIr3ExxiqE0joKyc39r/+VkZFRqcSh6qiSqceJizEN4SOuiunSWelRjkAggEsV9aN1sLLDpwoZ05CKlrimTJkCkUiEBg0aoHr16nB3d4eFhfrRKiqaWVO+w9kTp/H44SMAQEv/VjDmxjflAicuxjRk/PjxcHJyKnpBHdGwYUOMGTMGaWlpsLCwgKmpKcRiMczMzGBubo7KlSujXr168PX1haCa6sFuddnLlBSE3g+BSCRC89YtsHbrBm2HxP7FiYsxDenS5f0aG5Q3AwcOxP79+xEYGIiXL1/i5cuXSsvs2bMHVlZWWLDjJy1EWLpW/7oesxfPg7mlBV+DKmc4cZU3eoaAadkOZipn/OGcBmKFy8rKwq1bt+Dm5gZDQ0OFuyDLGBkZoWXLlggMDES4JBY4Jp3+1bXFMBYV3YiBlR/ZEuXPtzzjxFXeuDUBppzXdhTsAxMfH49bt27h8uXLuHTpEm7duiVPVm/fcl4oFKJ69epYvnw5OnfuLJ2YHCuffyPpQZnFzT5MnLgY+8Dk5+fj0aNH8iR1+/ZthIZKx8wTiUSoUaMGBgwYgBYtWqB58+YYNmwYrl+/DgCws7NDp06dsG7dOoVRQmyMrDDSo69WXg/TnJoWunEzVAFRcW6ZxhjTVWlpabh58yYuXbqEy5cv48qVK8j8915SpqamqFu3rjxJNW/eHNbW1grl69evj5CQEHh5eWHDhg1o1qyZNl4GY3KcuBirYJ4+fSpPUpcuXcLDhw8h+5k7ODjIk1SLFi1Qv359CIXqu3MmJCSgRo0a+OKLL7Bs2TKFEc4Z0xZOXIxpyObNm1GzZk00b968zNaZnp6Ou3fvypPUlStXkJKSAgDQ19dHnTp15EmqTZs2sLEp2a3jk5OTkZSUBC8vr9IIn7F3womLMQ1p06YN+vbti3HjxpXaOuLi4uRJ6vLlywgKCkJBQQEA6dGUr6+v/IiqUaNG3IybVUjcOIOxciovLw/BwcHyJHX+/Hk8fy69I7Cenh6qV6+O4cOHo3nz5mjZsiXc3Ny0HDFjZYMTF2Ma8r5DPsXFxeH27dsqm6RbWFigUaNG8tN+zZs3h7GxsaZCZ0yncOJiTENKkrjebpJ++fJlPH36FIDqJuk1a9asUOMgMvY+OHExVgaK0yS9f//+apukM8b+w4mLMQ1584irqCbpXbt2LXaTdMaYIm5VyNh7kjVJX758OZ4/f46HDx/Km6SLxWLUr19f3trvXZqkM8YUceJirIS4STpj2sWJi7FCFKdJuixJcZN0xsoGX+Ni7A3cJJ2x8o+PuNgHqzhN0t887cdN0hkrHzhxlTcFEuCxlu7HJdIHPFtqZ91loLAm6WZmZqhTp06ho6QzxsoHTlzlTW4msKiRdtZtZAZMv6addZcCTY6SzhgrP/gaF6sQChslXdYkfdy4caXaJP3AgQPw8vLikdQZK2WcuJhOKqpJerNmzcq8SfrChQsxZswYTlyMlTJOXKzc05VR0t93kF3GWPFw4mLlDjdJZ4wVhhMX06qKNEo6H3ExVjY4cbEyVZwm6bo6SjonLsbKBicuVmokEgnCwsIUTvtV5FHSOXExVjY4cTGNKQ9N0rXpo48+QpUqVbQdBmMVHicuXeRQEzC2AEDA0+vSv0oEgHtT6dOMZCDxscbDKI9N0rXphx9+0HYIjH0QOHHpIq92QOvR0uebPwZiHygv41wH+OwX6fNjS947celKk3TGWMXHiUsXBf8FtBoFCARAzY6qE5dXW+lfKgBCT5R4FYU1Sbezs0Pjxo0VBqDlJumMsbLCiUsXJf8DxD0AnHyAWh2Bk8uhdLqwxr+JK/Im8CqxWNXm5uZi+Gef4dKlS3j27BkA3WuSzhir+Dhx6argw9LEZekEONVSPOqydgVs3KXP7x8tdpWZmZk4cOAA6tSpgwEDBshb+1lZWWk4eMYYe3ecuHTVg6NAh6mASE/5dKH3R9K/kjzg4cliV2lmZoaXL1/qdJN0xljFx1soXZWRAkRclj6v1RHAG6fuZNe3nlwCstKKXaVIJOKk9R5CQkLkzf8ZY6WHt1K6LPiw9K+lE+BYU/rcxFraohAo0WlC9v769euHU6dOaTsMxio8Tly6LOw0kP1a+rxWR+lfr7aAQAjkZQOPz2ktNMYYKy2cuHRZfo40eQFArU4ABP+1Jgw7Lb2bMiszPOQTY2WDE5euCz4k/WvpBFRt+N9oGfePaC+mDxQnLsbKBicuXffsxn/9tLrOAvQMgaxXQMQV7cb1AeLExVjZ4MSl66jgv6Mrm2rSv6EnpE3hWZnixMVY2eDEVRHcO6j4/wM+TagNLi4uMDEx0XYYjFV43AG5Inj+RDqIrl114HUS8M9tbUf0QTpz5oy2Q2Dsg8BHXBVFSpT0b8jfQIFEu7Ewxlgp4sRVERibA54tpc+50zFjrILjxFURNBwobU2YHKn6FieMMVaB8DUuXSYQAjU7/HdTycu/QfXdkBljrOLgxKWrJhwHzGwBPQPp/9F3gXsHtBsTY4yVAT5VqKvEVv8lrcfngZ1fAZJ87cb0gUtLS0NeHvefY6y08RGXrtoyGDCzkbYmTI3RdjQMgI+PD9avX4+uXbtqOxTGKjQ+4tJVz8Olwzpx0io3eOQMqfnz56Nu3bqQSLhbBisdnLgY0xBOXFKenp7w9fV975uSLliwAFu3btVMUKxC4VOFjGkIJy6pQYMGYdCgQe9dz4ULF1CrVi0NRMQqGk5c5Y3IAOgyUzvrljX2YO+EExdjZYMTV3kj0gMav//eKit7nLik9u3bh6tXr+LHH3+UT1u5ciVMTU3x5ZdfYtOmTdi+fTsSExPh5uaG3r17Y+zYsfL3bvTo0UhJScH9+/fxzz//IC4uDgKBALt27dLWS2LlDCcuxphGPXz4ECdOnFBIXNevX4exsTH++usvCAQCfP311zA1NcW5c+cwadIkpKWl4dtvvwUAtGzZEhkZGXjw4AEcHBzQvn17bb0UVk5x4mJMQ+Lj47UdQrm2a9cujB8/HosXL5ZP69ixIwwMDLBixQp54ho8eDAAYPfu3ahVqxZGjhyplXhZ+cWtChljZcLe3h4LFixQmt6jRw+8ePECSUlJWoiK6SJOXIyxMtG8eXPo6Smf5HFwcAAAxMbGlnVITEdx4mKMaZWsv1dBQYGWI2G6ghMXY4wxncKJizHGmE7hxMUYY0yncOJiTEPc3d1x+fJlbYdRYRgbGyMrK0vbYbByiBMXYxqSmprKI6JrUI0aNXDu3Dm8evVK26GwcoYTF2MawkM+aVZAQACys7Nha2sLGxsbPHjwQNshsXJCQESk7SAYqwgsLCxw5MgRtGjRQtuhaFV2djZyc3Nhbm4un5aRkQEAMDExUVq+oKAAaWlpMDc3h0gkUpiXlZWFkJAQGBsbo0aNGir7gbEPD38LGNMQPuKSMjIygpGRkcI0VQlLRigUwsrKSuU8Y2NjNGzYUKPxMd3HiYsxDfnQE9fd1EeQEHcifl+WBmaoZuqs7TDKNU5cjDGNaHNyONLy0rUdhs7r49IOe1st03YY5RonrvIm+i7w9yLtrLtqI6DDVO2suwK4cOECPD09tR0GYxUeJ67yJvsVEBeinXWb2WpnvRVE/fr1tR1CuTC9zjAMcOug7TB0zpQby3Em/rq2w9AJnLgYYxplbWiOqqaO2g5D55joGRW9EAPA/bgYY4zpGE5cjDHGdAonLsYYYzqFExdjjDGdwo0zGNOQzp07Y9WqVahevbq2Q6mwzp08g7SXabC1t4Nfy2YqlykoKMCZ46dw48p1JD1PgnUla9SpXxeduneGoZH6BhBEhItnL+Dapat4npAIQyMjeNfyRpde3WBdybq0XhJ7B5y4GNOQU6dOIT2dO+CWlsvnL6Fvx14gIrTt2B57ju1XWuZRaBiGfvw5Hj4IVZrn4OSIX3b+pjLhPXkUjmEDv8D9u8FK86ZPmIqlq3/C4C+HaOaFsPfGiYsxDfnQh3wqTdlZWZg4chwKGxM8PjYOPfy7IOl5Etw93DF6YgCquldFQlwCtqzbjHt37uLjrn1x8d41VHGrIi+XEBeP7v5dkBifAAcnR4yZOBbVvb2QlPgcW9Ztxt3bQRg/bCysK1mjc48uZfFyWRE4cekioQgYsrH4y++ZCmSmll48DAAnrtK0dN5iRDx+An19feTl5alcZtn3P8iT1oW7VyE2EcvnDfh0IFrW9UN42GOsX7EGS37+UT7vh/lLkBifAJcqrrhw9wosLC0UynVq/hGCbt7Gj/OXcOIqJ7hxhq5y9yv+Q89A29F+EDhxlY57d+5i7U+rUalyJTuNO/kAAAgXSURBVPQfPEDtcudOngEAfDl6mELSAgADAwP0HdQfAHD98jWFeYf2HgQATJw+WSFpAYC+vj4CJn8ljyMnJ+f9XgzTCD7i0kUFBcDuyernO9YGmg+VPo+4ArxOKpu4GNOw/Px8TBj+FfLz87Fo5VLcv3tf7bI/b1mH/Lw81PSppXJ+pcqVAADpr1/Lp2VlZsLM3Axm5mao51tPZTmXKq4AIN0p4dsXlgucuHQSASHHVc8yMgPa/5vU0pOB/TMAvtVEmahoR1ynT5+GSCRC69attfa6Vv+4CsFB99Cu00foP/jjQhNX89aF38Dz7u0gAECtuj7yacZiMe5EqK8TAJ48DgcAVKvuUWirRFZ2+FRhhSIAen4PWDkDBRJg3zdA+gttB/XBCAwMRJUqVYpeUEeYm5ujZ8+eqF27NkaPHo0nT56U6fojHj/BD/OXQGwixk/rV75XXQd378ef2/6Anp4eJnwzsdjliAhbN/4KABgy9LP3ioFpDh9xVSR+nwHe7aXPz64Gnl4rfHmmUf3799d2CBrVqFEj1KpVC1evXkVoaCgOHDgAFxcX9OvXD6NGjYKlpWWprbugoADjhwcgJzsbC1csgWtV1xKVP3HkOP7+6wiys7IREvwAD+7dh6mZKVZuWo36jXyLXc+m1Rtw8+oNOLu64MvRw0r6Mlgp4cRVUTj5AO0nSZ+HXwQubSlxFS8zcxBx+7aGA2O6zN3dHVevXgUAJCYmIjExEXfu3MGqVavg6uqKqVOnokePHtDX1y92nRnpGSpbBpqamUJPT7pJ2rrxV1y9eAUNGvti5LjRJY777u0gbNv0m8K0nv17o1W7NsWu49K5i5g95TsIBAIs37ASpmamJY6DlQ5OXBWBsTnQbxkg0gdeJb7zda3zD+PQa3jDUgiQVSQFBQWIj49HfHw8hgwZAjMzMwQHK3fcVeezvoNx9sRppenHLp9C42ZNEBsdg3nTZ0NfXx+rNq+BSCQqcYwffzoITZo1QWZmFiIeh2Pb5q3Y8et2XDh9Hn+dParQj0uVR6Fh+LzvYOTl5eHbBbPQvjPfX6w84cSl8966rrVnyjv32WrkbovAwEANx8d02R9//IEDBw4oTbe0tIStrS3GjBmDoUOHwtzcvNh1VvOshtTkFKXpJqYmAIApYyfh9avXmPztFNSqU/ud4q7iVkUhOY2aMBY923bFtUtX8e3Eb7Dj4C61ZeNiYtGvU2+kpqRi4Gef4Ovv+K7g5Q0nLl3X/EvAq530+emVQNSdd67K0cqkwl2nYe9nzZo18ucWFhZwcXFBmzZt8PXXX6Nq1arvVOcPa35SO2/vzt04fvgYBAIB4mLiMGnUeIX5t67dBACEhTyUz5sy8xs4uTgXuk59fX1MmfkN+nXqjeOHjyEnO1tlC8GXqS/Rr1NvxEbHoGO3Tvh5y9oK1VK0ouDEpcuc6wBt//1hh18ALv9W+PKMlcDDhw8RHBwMT09P1KpVC1OmTEHz5s1LdZ2n/j4JQNqa78/f/1C7XFxMrPwa1tAxw2FjZ4urFy4DAHybNFJ5PapqNXcA/57qjEtAVfeqCvOzs7IwuOfHCAt5CL+WzfBb4O/ya26sfOFPRVcZmwP9fpJe10pLAPZ/C4A7R2pLfn4+AgICMG/ePNjb22s7HI0IDw/H6tWr0b9/fxgaGpbJOidMm4SBnw1SO3/rpt9wcPd+1G/YALMXzwUAuFVzR4FEgr4de6GgoAA7Du5SOTRTbHQMAEAoFMo7I8tIJBKM+GQorl68gtp1fbDz0G4YGRtr7oUxjeLEpZMEQJ+lgKWjtCf/qeWAoYn0oUr2KyDrVdmG+IGRSCTYtGkTvv766wqTuHr06FHm6/Sq5Q2vWt5q558+Lm3UYVXJGq3b+yvMa9i0EW5cuY51y1ejY7dOEAoVu6luXLUOANDIrzHMzM0U5k0NmIwjBw7D3cMde47th7lF8a/ZsbLHiUsXWTsDnq2kzwUCoO8PhS9/foO0XxcrNbJRy/l6iPbMXjwPvdt3x+Xzl/BR07YYOW4UXKtWQVxMLP635XecP30O+vr6mLNkvkK5FYt/kncybtWuDXZuU3+K0sTUBMMDRpbq62BF48Sli4hKdgSVzwODljZOXNrXrFVzbN+/E+OGjkHQzdsY85ligrGxtcHPW9ahaQs/hennT52VP5clMHXsHR04cZUDnLh0UWoMsNSv6OVYmSnsPlFMc3r07YlqntXg6Oyocn6Hrh1x99kDHDlwGEG3gvD61SuYmZmhXsP66Na7O4zFYqUyYyZ9hd4f9y3W+o3FfN2rPODExZgG8RFX6WrYtBEaNm1U6DLGYjH6fTIA/T5RfwuUN3Xs1kkTobEyxIPsMqYBfKqQsbLDiYsxDdDX18eSJUtgbW2t7VAYq/D4VCFjGmBgYIBp0/7f3h2jRAwFYQAeRTbCIlik2vt4hFQ5iFfYQ2iRm3iGPYFN7GIhCgZWtBYVV32bOPp9dYppws9M8uadz10G/As6LgBS0XEBRd2Od3F9fzN3Gek8bB/nLiENwQUUtd5cxnrz9fvgYFdGhQCkouP6bQ6PIo5PPn9uHxZvD2fCrq7OLuLpGxeY8trpYqb3P5GDZ0f+4cfGcYyu66Jt21guP1h2DBQhuKCAYRiiruvo+z5Wq/fXEQFl+MYFBdicAdMRXFCAwQVMR3BBQTou2D/BBQUYFcJ0BBcUILhgOoILCqiqKpqmiaqq5i4F/jy/wwOQio4LgFQEFwCpCC4AUhFcAKQiuABIRXABkIrgAiCVF1M6Z3qZcF7vAAAAAElFTkSuQmCC

3

del y

- suppression du nom y

data:image/png;base64,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

4

del x, z

- suppression des noms x et z

data:image/png;base64,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

Remarque : l’instruction del supprime des noms, pas des objets ; lorsque plus aucun nom ne réfère à un objet Python, ce dernier devient inatteignable et il a pour vocation d’être supprimé de la mémoire par un mécanisme interne à l’interpréteur Python, le ramasse-miette (garbage-collector en anglais).

5. Objets de type numérique#

5.1 Introduction aux nombres numériques#

Il existe quatre types numériques de base et distincts :

  • les nombre entiers (integers en anglais) qui servent à représenter les entiers relatif de \(\mathbb{Z}\). Avec Python3, il n’y a pas de limite supérieure, ni de limite inférieure aux entiers (hormis l’espace mémoire disponible), c’est une caractéristique rare parmi les langages de programmation.

  • les nombres à virgule flottante (floating-point numbers en anglais, souvent abrégés en “nombres flottants” ou simplement “flottants) qui servent à représenter les nombres réels de \(\mathbb{R}\) moyennant quelques approximations et limitations.

  • les nombres complexes (complex numbers en anglais) avec une partie réelle et une partie imaginaire qui servent à représenter les nombres complexes de \(\mathbb{C}\) moyennant aussi quelques approximations et limitationspuisque la partie réelle et la partie imaginaire sont représentées sous forme de nombres à virgule flottante.

  • les nombres booléens (booleans en anglais) qui se limitent à deux représantants True (Vrai en français) et False (Faux en français). Pour python les nombres booléens et les nombre entiers sont deux spécialisations d’une même famille de nombre.

Pour créer un objet numérique, il existe trois moyens :

  • les littéraux (ex: 123456789, 1,602e-19, 3j, True)

  • les constructeurs d’instances de classe (int(), float(), complex(), bool())

  • les expressions à base d’opérateurs et de fonctions (ex : +, -, *, /, not, and, or, abs(), pow(), round(), max(), min())

Le tableau suivant donne les principales manières de construire un objet de type numérique

Entiers

Flottants

Complexes

Booléen

Littéraux

12345678901 (décimal)
0x_1A2B3C4D (hexadécimal)
0b_01010011 (binaire)

avec un point décimal 123.456
avec un exposant 12e6 soit \(12 \times 10^6\)
ou les deux 1.6e-19 soit \(1.6 \times 10^{-19}\)

entier ou flottant littéral avec
le suffixe j donne un imaginaire
avec une partie réelle nulle
ex : 8j, 6.7j, 3.4e-3j

True
False

Constructeurs

int() donne 0
int(12.8) donne 12
int("-360") donne -360

float() donne 0.0
float(1.6e-19) donne 1.6e-19
float("-1.6e-19") donne -1.6e-19

complex() donne 0j
complex(0.2, 1.4) donne 0.2+1.4j
complex("2+3j") donne 2+3j

bool() donne True
bool(False) donne False
bool(1) donne True
bool(0) donne False

Expressions
arithmétiques

(5 * 5) - 3

-(1.5 + 8.1) / 7.3

(1 + 2j) / (1.1 - 7.3j)

True and not False

On notera le caractère polymorphe des constructeurs int(), float(), complex() et bool() qui acceptent à la fois un nombre variable d’arguments et qui d’adaptent au type de leurs arguments. Cela permet une grand souplesse d’utilisation.

5.2 ⚙️ Exercice - Littéraux numériques#

Créer les variables suivantes à partir de littéraux ou constructeurs d’instance, en étant vigilant sur l’exactitude de la valeur des objets de type entier :

Nom

Type

Description de l’objet

n_a

entier

Nombre d’Avogadro dont la valeur exacte est \(6.022 140 76 \times 10^{23} \; \text{mol}^{−1}\)

googol

entier

Un 1 suivi de 100 zéros

m_e

flottant

Masse d’un électron au repos, \(9.109 534 \times 10^{-31} \text{kg}\)

# Insérez votre code ici pour créer n_a, googol et m_e

5.3 Expressions numériques#

Pour créer des objets de type numériques avec des expressions, le tableau suivant donne les opérateurs qui s’appliquent aux objets de type numérique (les colonnes “Entiers”, “Flottants” et “Complexes” indiquent quels types numériques sont pris en compte) :

Opération

Résultat

Entiers

Flottants

Complexes

x + y

somme de x et y

x - y

différence de x et y

x * y

produit de x et y

x / y

quotient de x par y, résultat de la division

x ** y

x à la puissance y

-x

négatif de x

+x

x inchangé

x // y

quotient entier de x par y

x % y

reste de la division de x par y (1)

x | y

“ou” bit à bit de x et y (1)

x ^ y

“ou exclusif” bit à bit de x et y (1)

x & y

“et” bit à bit de x et y (1)

x << y

x décalé vers la gauche de n bits,
équivalent à la multiplication par pow(2, n) (1)

x >> y

x décalé vers la droite de n bits,
équivalent à la division par pow(2, n) (1)

~x

les bits de x inversés (1)

(1) Les opérateurs sur le bits sont souvent utilisés pour manipuler des registres de microcontrôleur, en particulier en informatique embarquée, par exemple dans les projets LDD3 108-208.

La liste suivante résume les priorités de ces opérateurs, du plus prioritaire (portée la plus courte) au moins prioritaire (portée la plus grande) :

  • (expression...),

  • ** (puissance),

  • -x +x ~ (négatif, positif, inversion bit à bit),

  • * / // % (multiplication, division, division entière, reste),

  • + - (addition, soustraction),

  • << >> (décalages),

  • & (“et” bit à bit),

  • ^ (“ou exclusif” bit à bit),

  • | (“ou” bit à bit)

Illustration de la notion de priorité des opérateurs avec l’expression -u ** 1 / 2. En lisant l’expression de gauche à droite :

  1. - u ** 1 -> on applique l’opérateur - plus prioritaire que ** , on peut ainsi remplacer -u par (-u)

  2. (-u) ** 1 / 2 -> on applique l’opérateur / plus prioritaire que **, on peut ainsi remplacer 1 / 2 par (1 / 2)

  3. (-u) ** (1 / 2) -> il ne reste que l’opérateur ** à appliquer, il sera de fait exécuté en dernier, car il est moins prioritaire.

5.4 ⚙️ Exercice - Expressions numérique#

Créer, puis afficher, les variables suivantes à partir d’expressions numériques, toujours en étant vigilant sur l’exactitude de la valeur des objets de type entier :

Nom

Type

Description de l’objet

valeur approchée attendue

googol

entier

Un 1 suivi de 100 zéros

la valeur exacte est attendue

nb_or

flottant

Nombre d’or, solution de l’équation \(\phi^2 = \phi + 1\)
$\(\phi = \frac{1 + \sqrt{5}}{2}\)$

\(1.618\)

pi_approxi

flottant

Valeur approchée de \(\pi\)
$\(\text{pi\_approxi} = \frac{4}{1+\frac{1^2}{2+\frac{3^2}{2+\frac{5^2}{2+\frac{7^2}{3^2}}}}}\)$

\(3.14\)

psi

flottant

Unique solution de l’équation \(\psi^3 = 1 + \psi\)
$\( \psi = \sqrt[3]{\frac{1}{2}+\frac{\sqrt{69}}{18}} + \sqrt[3]{\frac{1}{2}-\frac{\sqrt{69}}{18}} \)$

\(1.325\)

# Insérez votre code ici
# test du code précédent à l'execption b_1
assert googol == 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000, "La valeur de googol est incorrecte"
assert (nb_or - 1.618033988749895) < 1e-11, "La valeur de nb_or est incorrecte"
assert (pi_approxi - 3.14159) < 5e-3, "La valeur de pi_approxi est incorrecte"
assert (psi - 1.324717957244746) < 1e-11, "La valeur de psi est incorrecte"

5.5 Expressions booléennes (1)#

Pour construire des expressions booléennes, Python propose trois opérateurs booléens and (conjonction), or (disjonction) etnot (négation). Ces trois opérateurs sont moins prioritaires que ceux précédemment évoqués, et leur ordre relatif de priorité est du plus prioritaire (portée la plus courte) au moins prioritaire (portée la plus grande) :

  • not

  • and

  • or

Lorsqu’ils opèrent sur des booléens, la sémantique de ces trois opérateurs est présentée dans la table de vérité ci-dessous ; elle est conforme aux usages.

Résultat de
exp1

Résultat de
exp2

Résultat de
exp1 and exp2

Résultat de
exp1 or exp2

Résultat de
not exp1

True

True

True

True

False

True

False

False

True

False

False

True

False

True

True

False

False

False

False

True

5.6 🟨 Expressions booléennes (2)#

La particularité de ces opérateurs est qu’ils acceptent tous les types d’objets ! En effet, dans un contexte booléen (là ou Python attent une valeur booléenne), tous les objets peuvent être évalués à une valeur booléenne. Par défaut, un objet x est considéré True sauf s’il possède la méthode interne x.__bool()__ qui revoie False ou qu’il possède la méthode interne x.__len()__ qui revoie 0 (objet de “taille” nulle).

Voici quelques objets natifs considérés comme False (évalué à False dans un contexte booléen) :

  • les zéros des types numériques :
    0 (l’entier zéro),
    0.0 (le flottant zéro),
    0j (le complexe zéro), et évidemment
    False (le booléen zéro)

  • les séquences et collections vides :
    "" (la chaine de caractères vide),
    [] (la liste vide),
    () (le n-uplet vide),
    {} (le dictionnaire vide),
    set() (l’ensemble vide)

  • l’objet None

Dans le cas général, la sémantique des opérateurs booléens est :

  • l’opérateur and renvoie l’objet à gauche s’il est évalué à False, sinon il renvoie l’objet de droite, même s’il vaut False.

  • l’opérateur or renvoie l’objet à gauche s’il est évalué à True, sinon il renvoie l’objet à gauche

  • l’opérateur not appliqué à l’objecté x renvoie le booléen not bool(x)

Cela se traduit par le tableau suivant

Résultat de
bool(exp1)

Résultat de
bool(exp2)

Résultat de
exp1 and exp2

Résultat de
exp1 or exp2

Résultat de
not exp1

True

True

exp2

exp1

False

True

False

exp2

exp1

False

False

True

exp1

exp2

True

False

False

exp1

exp2

True

Exemples :

True and True  # donne True (tous les opérandes sont booléens)
True and -1  # donne -1
True and 0.0  # donne 0.0
-1 and True  # donne True
0.0 and True  # donne 0.0
False and 3.14  # donne False
True or False  # donne True
True or 1j  # donne True
False or 2  # donne 2
False or 0.0  # donne 0.0
[] or "Liste vide"  # donne 'Liste vide'
[1, 2] or "Liste non vide"  # donne [1, 2]
"" or "Chaine vide"  # donne 'Chaine vide'
"A" or "Chaine non vide"  # donne 'A'
not 0  # donne True
not 3.14  # donne False
not ""  # donne True
not "A"  # donne False
not None  # donne True

L’usage le plus courant est la simplification des tests sur les séquences ou collections vides. Cela permet également de construire un objet en fonction de la valeur nulle ou de la longueur nulle d’un autre objet, comme dans le code suivant :

x = 1 #
propriete_de_x = (not x and "x est nul") or "x est non nul"
print(propriete_de_x) # Affiche "x est nul" si x vaut 0, sinon "x est non nul"
x est non nul

5.7 🟥🟥 ⚙️ Exercice - Expressions booléennes#

Créer, puis afficher, la variable b_1 à partir d’expressions numériques booléennes, toujours en étant vigilant sur l’exactitude de la valeur des objets de type entier :

Nom

Type

Description de l’objet

valeurs attendues

b_1

booléen

Soit \(a \in \mathbb{Z}\)
$\( b_1 = \left \{ \begin{array}{l} \text{vrai, si } \; a^2 - 1 \; \text{est un multiple de 3} \; \\ \text{vrai, si } \; a^3-1 \; \text{est un multiple de 5} \\ \text{faux, sinon} \end{array}\right . \)$

Quelques valeurs exactes
\(a = -4 \implies b_1\) est vrai
\(a = -3 \implies b_1\) est faux
\(a = 0 \implies b_1\) est faux
\(a = 1 \implies b_1\) est vrai
\(a = 3 \implies b_1\) est faux
\(a = 4 \implies b_1\) est vrai

# Insérez votre code ici

5.8 Fonctions natives sur les numériques#

Le tableau suivant liste les fonctions natives qui retournent un objet numérique

Fonction native

Résultat

Entiers

Flottants

Complexes

Booléens

abs(x)

valeur absolue de x
(le module si x est un complexe)

pow(x, y)

x à la puissance y,
équivalent à x ** y

pow(x, y, z)

x à la puissance y modulo z,
équivalent à pow(x, y) % z
avec x, y, z entier

round(x)

valeur arrondie de x à l’entier le plus proche

round(x, n)

valeur arrondie de x avec une précision
de n chiffres après la virgule

max(x, y, ...)

plus grand nombre parmi au moins 2 arguments

min(x, y, ...)

plus petit nombre parmi au moins 2 arguments

all(x, y, ...)

True si tout les nombres sont True

any(x, y, ...)

True si au moins un nombre est True

Dans un contexte arithmétique, le booléen True est l’entier 1 et le booléen False est 0.
Dans un contexte booléen, comme avec all() ou any(), les numériques nuls valent False, les autres valent True

5.9 ⚙️ Exercice - Fonctions natives sur les numériques#

On s’intéresse aux trois nombres suivants :

\[ \begin{array}{ccc} n_1 = \sqrt[12]{16434192740} & n_2 = \frac{999436}{140737} & n_3 = \frac{28 + \sqrt{37}}{\sqrt{23}} & n_4 = 6 + |1.27^5 - 1.30^3| \end{array} \]

Calculer et afficher \(n_1\), \(n_2\), \(n_3\) et \(n_4\) en privilégiant l’utilisation des fonctions natives pow() et abs(), puis calculer et afficher n_max, respectivement n_min, le plus grand, respectivement le plus petit, des 4 nombres que l’on arrondira au 3e chiffre après la virgule.

# Insérez votre code ici
# Test du code précédent
assert n_max == 7.109, "La valeur de n_max est incorrecte"
assert n_min == 7.101, "La valeur de n_min est incorrecte"

5.10 Méthodes et attributs des numériques#

Le tableau suivant liste les attributs-données et les attributs-méthodes que possèdent les objets de type numérique.

Entiers

Flottant

Complexes

Attributs

c.real
partie réelle du complexe c
c.imag
partie imaginaire du complexe c

Méthodes

n.as_integer_ratio()
Renvoie un couple d’entiers
dont le ratio est exactement
égal a l’entier n : (n, 1)

f.as_integer_ratio()
Renvoie un couple d’entiers
dont le ratio est exactement
égal au flottant f :
(numérateur, dénominateur)

c.conjugate()
Renvoie le conjugué du complexe c

5.11 ⚙️ Exercice - Méthodes et attributs des numériques#

On s’intéresse à trois objets numériques :

  • num1 \(= 5^6 \; \text{modulo} \; 11\)

  • num2 \(= 5.6^7\)

  • num3 \(= (-5)^{0.6}\)

Construire ces trois objets numériques, afficher leur valeur et leur type, pour les entiers et les flottant afficher leur représentation sous la forme (numérateur, dénominateur) avec la methode as_integer_ratio(), pour les complexes afficher leur partie réelle, leur partie imaginaire et leur conjugé.

# Insérez votre code ici

5.12 Comparaisons de valeurs numériques#

Python propose six opérateurs pour comparer la valeur de deux objets <, >, ==, >=, <= et != qui permet de construire des expressions de comparaison. Les objets n’ont pas besoin d’être du même type.

  • x == y test d’égalité, renvoie True si la valeur de x est égale à la valeur de y, sinon False

  • x != y test d’inégalité, renvoie True si la valeur de x est différente de la valeur de y, sinon False

  • x > y, test de supériorité stricte, renvoie True si la valeur de x est strictement supérieure de la valeur de y, sinon False x >= y, test de supériorité, renvoie True si la valeur de x est supérieure ou égale de la valeur de y, sinon False

  • x < y, test d’infériorité stricte, renvoie True si la valeur de x est strictement inférieure de la valeur de y, sinon False x <= y, test d’infériorité, renvoie True si la valeur de x est inférieure ou égale de la valeur de y, sinon False

Exemples :

n1 = 3  # l'entier 3 est assigné au nom variable n1
n2 = 5  # l'entier 5 est assigné au nom variable n2

n1 == 3  # test si la valeur de l'objet n1 est égale à 3, renvoie True
n2 == 4  # test si la valeur de l'objet n2 est égale à 3, renvoie False
n1 != n2  # test si la valeur de n1 est différente de celle de n2, renvoie True
n1 < n2  # test si la valeur de n1 est strictement inférieure à celle de n2, renvoie True
n1 < 3 # test si la valeur de n1 est strictement inférieure à 3, renvoie False
n1 <= 3 # test si la valeur de n1 est inférieure ou égale à 3, renvoie True
n1 > n2  # test si la valeur de n1 est strictement supérieure à celle de n2, renvoie False
n2 >= 5  # test si la valeur de n2 est supérieure ou égale à 5, renvoie True

Python autorise les tests d’égalité et d’inégalité entre les objets numériques même s’ils sont de types différents. En revanche, les opérateur <, =<, < et >= sont définis seulement quand ils ont un sens, si l’une des opérandes est un nombre comples et pas l’autre alors l’interpréteur Python lève une exeption. Exemples :

2 == 2.0 + 0j  # donne True
0 == 0.0  # donne True
10 != 10.0  # donne False
2 < 2.0000001  # donne False
2 < 3 + 1j  # lève une exception TypeError : 
            # '<' not supported between instances of 'int' and 'complex'

Les opérateurs de comparaisons ont tous la même priorité (particularité de Python) et ils sont moins prioritaires que les opérateurs arithmétiques et ils sont plus prioritaires que les opérateurs booléens. La liste suivante résume les priorités de ces opérateurs, du plus prioritaire (portée la plus courte) au moins prioritaire (portée la plus grande).

  • (expression...)

  • opérateurs arithmétiques :** (puissance), -x +x ~x (négatif, positif, inversion bit à bit), * / // % (multiplication, division, division entière, reste), + - (addition, soustraction), << >> (décalages), & (“et” bit à bit) et ^ (“ou exclusif” bit à bit), | (“ou” bit à bit)

  • opérateurs de comparaison de valeur : <, >, ==, >=, <= et !=

  • opérateurs booléens : not, and et or

Ainsi les deux expressions suivantes sont équivalentes, car les opérations arithmétiques * et ** sont exécutées en priorité sur l’opérateur == de comparaison.

5 ** 2 == 5 * 5  # donne True
(5 ** 2) == (5 * 5)  # donne True

De même, les deux expressions suivantes sont équivalentes, car l’opération de comparaison == est exécutée en priorité sur l’opérateur booléen or.

True or False == False  # donne False
True or (False == False)  # donne False

Les comparaisons peuvent être enchainées les une après les autres, par exemple x < y <= z

Syntaxe : exp_1 op_1 exp_2 op_2 ... op_n-1 exp_nexp_i sont des expressions valides donnant un objet Python et où op_i est un des opérateurs de comparaison <, >, ==, >=, <= ou !=
Sémantique : la comparaison enchainée est équivalente à l’expression booléenne (exp_1 op_1 exp_2) and (exp2 op_2 exp_3) and ... (exp_n-1 op_n-1 exp_n) sauf que les exp_i sont évaluées au plus une fois (gain de performance).

Exemple

0 <= n <= 5  # renvoie True si n est compris entre 0 et 5, sinon False
0 < n != 5  # renvoie True si n est strictement positif et différent 5, sinon False

5.13 Exercices - Comparaisons#

On s’intéresse à deux domaines du plan x0y

  • Dom1 : le disque (circonférence exclue) de rayon égal à \(1\) et de centre \(C\) de coordonnées \(C(x_c=1, y_c=0)\),

  • Dom2 : le carré (contour inclus) passant par les points \(M\), \(N\), \(Q\) et \(R\) de coordonnées

    • \(A(x_a=-1, y_a=0)\),

    • \(B(x_b=0, x_b=-1)\),

    • \(C(x_c=1, x_c=0)\),

    • \(D(x_d=0, x_d=1)\).

et à un point P quelconque coordonnées \((x_p, y_p)\)

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Grxo2GDn+fz79/qBOPfG4aLHJwaWVAEfAqGnyKDr+ij7hH0CpLuPPyMuyu64bbq4WCoBU5ThvSUizj+CcznyQB51Zk4NyKjD7jLq+K9m4FHR4VjZ1+NLsUNLT70N6twJkiY9XCQuRn2KFqAqqmwRvpIwVZkmC3SXDYZKRYZTjsFsiDTLfWtvjwysct6PFrOLvYiXOmpGNqYeoZz8wSEdHgGBKJqC9VRc1dd6Fn797IWK8755Rp01D2wx+i3eUyxgpuuQUA0Pnii6GOHeMXFI8fP441a9ZE9dxFixbhqaeewpw5c874+1LsanEFsKu2G7tq3djf4IFf0Qd9nhDAkVM92HqoA9OK0uBXB3/eSGwWGQumcm9rWGaqFZmpVlQUAEAkQGoCsIyQ4nQh4AuIYNfWELtVRopNhsMmw2GX4epR8a8vHoc3oAEAdtd144VtTchMtWLu5HTMm5KOueUZyEhN7JBORDSRGBKJKCKKgFj+wx9Csg08ay2aoDjliSeQMs57FC0WCy655BLceeeduPbaayHLXM6WiHQB/GVnK97Z34FTnf4hnhM5UkLv1Um026eddkCk6I0UEIcS3v/p9gYfbzvqQqdHgcUiwSJFjulweVW8f6gT7x/qhASgsigN86akY96UDFQWcZaRiOhMMCQSJbh58+bhpptuwoIFC4Z/4hkExLCRgmLtunWnFRTXrFmDtra2IT9vt9uRm5uLqqoqLFiwALm5uaN6fYo//7ejGX/e1jxgXBeAqukDzhkMm5Rlx1nFaRNRIo2RFKsETY90Vg2f52iRJVhCa1MFgOqmHlQ39eB/tzcjN92GlfPycOW5+cOe/UhERIOTxGjasxFRYjqNgNjW1oZVq1ZBlmVs2bKlz8u1/O53kaAIoPddmjUra0JmFCmxPbDhCBra/f1mCwfvOGqzSJic78D0YicumJGNVDtnl+OJqgs88cYJ1LR4B3wu3EHVIvedZQz78qUluLSKbxoREY0WZxKJkt0YzCD2N14zikQA4FN02CwyfAEd+hDvc+Zl2DCjJA2zStJx1qRUdtGMY1ZZwp0ry7Gn1o19Jzw43OhBtze4P1EIQNMENC0yyxgMjcGmOB8ddzMkEhGdBoZEomQ2DgExrOCWWyADaGdQpDEQUHV4/Bo8vuCh7pdW5eBoY49xML3dKqOyKA0zS4L/FWTaTa6YxpKlV2dVAaC+1YsDDT04dKoH9a1e45iS8LJUBcGQ6LDJUDQB2+lukCQiSlJcbkqUrEYIiI5QF9OhAuJwy037PO93v4sERYBLTylq/YNhf109Kg439iAr1YqphQ7Y4v0gQjotPX4dh0/14EBDNw6e9KDbF5xlzHFacffKych2WmG3ykhLkZHusDIwEhFFgSGRKBmpKmruvBM9+/ZFxkYREIHoQyLAoEjRC6gCHr86ZDAkGo4ugLpWL3wBHdMmpQ0aCB02GWkpFjhTLLAyMBIRDYrLTYmSzRgExNHKC+1RHGrpac26dahgUExobq+GLYc6sKPaBb8qsLwqB5+eE9wrpgsBj0+D28ujKejMyBJQUZA67HN8ig6foqO9W4HDLiPTYUVaioVdUImIemFIJEomJgTEsLxbboEQAh0vvTQgKGoMignrQIMHb+1tx0fHXH1mBn/zNy8cNgtmlKTB49OGbEBDNJ58AR2+QACyBDgdVmSmWvo0OXr/UCc+qXUjP8OOC2dmoyQnxcRqiYgmDkMiUbKIJiD+6EeQrON3Wci/9VYAYFBMcJou8GG1C5t2tuJ4c99jC4QANCGgqjr+tr8dJTlsMEPm0wXg9qpwe1WkWGVkpFqw5VAnNrzXaDxn48ctOHdKBq6cn49ZpU4TqyUiGn8MiUTJIAYCYlg0QXHq//wP7OXl414LjS2fomPzvna8vqsdre5An88FD7kPdp4Mb4XPSuOvIIo9flWH363jlR0tCKgCVosEWQpeqnbWuLGzxo2pham4an4+Fk3LhEXmOlUiSjz8DU2U6GIoIIbl33orEAig4y9/GTQoHl+zhkExjgRUHS9/1IrXd7XCG+i7p1DVBVRVDFhOWpRlx8WzsieyTKJRsVllqJoOVQuev2iRJaPRzfFmL/779XrkZ9ixcl4uLq3KhcPG7rpElDjY3ZQokakqjq1dC9+BA5GxMQqIo+luOpTmX/wCXa+9NmjXU0tWFoNinPjv1+vxwZEu47EQgKrr0HRA1yM/b5IEVBamYsn0LMybkgErZ2Aohu2p68bv3z2JXj/CkCUJFgsGHLeSlmLB8qocfObcfGRzhpyIEgBDIlGiGseACIxNSARCQfHVVyMDDIpxJaDq+PIv9kMg2KVU1dBnSSkQPOh+yfQsLJuRhYIM7kGk+HGizYe393VgT527T1iUJMBqkWGVpT5dUdMdVjx4zRRMGaHDKhFRrOPaCKJENM4BcSwVrl2LrCuuiAz0qjO89DRQX29CZRQNiyzBapXhV3T4FQFV0/vsObzqvHx854ZKXLuwgAGR4k5ZngP/dFExHrx2Ki6clWN0PhUCUNTgURp+RTeWU3f7VLy0o8XMkomIxgRDIlGCEYqCY6tXDxkQU2IoIIaNGBTXrmVQjEE9fg3NXQFcNCu7z+xhcU4KvrBsEh66vhLLq3KRauevGopvuek2XLuwAN+5oRJXnZePzNTg9VOIYDMmX0CHX9WNLqlERPEudu4SieiMCUXB8TvugO/w4V6DfQNieYwFxLDCtWsBILL0tHczm85OHF+7FlN/8QsuPY0BvkDwIPLwwfeXzMpBRb4D9W1+lOTYUVmYxoPJKSGl2mUsr8rFxbNz8dGxLrx7oAOnOoKdfDVNQNM0zCxxwq/oSGEjGyKKY9yTSJQgJjogjtWexP6G3aOYnc2gaCKfoqPDo8DXr4MpUbISAjh80oMPqrvg8Wk4b2oWlpyVCUkKBsrcdDvsVr5jQkTxJ/amE4ho1OJ5BrG/wrVrIQHo5IxizGA4JBqcJAEzSp2YUeoc8DlvQEdDuw9OhwU5ThtsFoZFIoofXAtBFOcSKSCGFaxdi+yh9iiGgiL3KI6/gCrQ7ArgVIefAZHoNHl8GhrafWhxKVA0Lt4iovjAkEgUxxIxIIYxKE6Mzh4VHZ6+jTYCqo6mrgAa2n3w+DSTKiNKHEIEO582tPvQ5lag6QyLRBTb4u/OkYgABANizerV8B050muwV0CcPh3lP/hBXAbEsIJQMxsuPR17pzr8+OPWRuyscUMIYPFZmVi3YjLcXgUurwruVicae0IALq+Kbp+GzDQLstNsbPJERDEpfu8eiZJYOCB6EzgghjEojq0ev4aXdrTgjV1tUHvNZmw93IX8jEZ8anqWidURJQddCHR6VHh8GnKcNjgdFgDAR8fdOHLKg/I8B5ZOz4JFZoIkInPE/x0kUZJJpoAYNlJQrFm3DhVPPMGgOAwBYPPedrywrRmuXue4abqAEjrfraHdB4AhkWiiKFpw36/DJ2PLgU68/FGL8bmXd7TgHy8qxpzydBMrJKJkxT2JRHEkGQNi2HB7FNWODtSsW8c9ikNo6PDj+y8cw1N/O2kERF0I+FUdfiUYEAFgamGqiVUSJS9vQMeLH7YgoArj0tbQ4ccP/q8GT7x5Am4v9wYT0cRiSCSKE8kcEMNGDIp33QWlqcmEymKTqgv87/ZmfPtPR3GksQcAIISAogn4FQEt1GnRIku4tCoH51VkmlkuUdISAhBCh6rp8Clany6o7x/qxAMbjuD9Q50mVkhEyYYhkSgOMCBGFKxdi6zPfCYy0DsotrXh+OrVDIoAjjd78e0/HcX/bm82bjg1XcCvBpeXitDf29nFTtx31RR89rwCNtAgMoksAZ+ang0geElTVB2+gGbM8ru8Kp548wT+85VatLoDJlZKRMmCIZEoxul+PwNiP4Xr1jEoDqPNreDfXjyOE+1+AMG/HmNpaeiusyAzBf98SQnWXFaKSdl2M8slIgBXLyjAtYsKkJYSbGKjC8Cv6KElqMF/t7tq3Xhgw1G8vqsNbEBMROOJIZEohul+P2rXrGFAHASD4tB2HHPBp+gAgktOfYpmLC21W2VcMT8f61dNQRUbYhDFDEkCLpyZgwevmYpF07IgScHl4aqmB5eHh97g8Ss6nt5yCt9/4Rg6e9QRXpWI6PQwJBLFKAbEkY0UFGuSNCg6HRboQsCn6AgouvHXMq0oDfd9djIum5MLC5eWEsWktBQZXzi/CGsuK0Nehg1AqNGUosOvRv49H2nswa/fbjCxUiJKZAyJRDFopIDoYEA0DBcUlSQMikIIzCxxoiDDbiwtddhk3LCkCOtWlKEgg0tLieLB9ElpWH/1FFw8Kwfh4xI1LbgyIHzG6cGTHhMrJKJExjtMohij+/2oueMO+I4ejQz2C4hlDIh9FK5bBwDoeu214ECvcxTDQbHil7+ErajIrBInhF/V0eoKIKAK3LWyDAdO9KAnoGFueQacDr4nSBRvbBYZqxYW4LypGXhuWzMa2nwQAggoOjSLhGk8toaIxgnvGohiCAPi6Uv2GcWuHhWnOvwIqME/t80i45wp6Vg6PYsBkSjOleU58NXPlOOq8/KRYg3+e850WHDF/Dx4/DxDkYjGniSEYIMsohgQbwGxra0Nq1atgizL2LJli9nlGJqfeCIyowig97kOtry8hJtRVHWBVpcCb4A3ikTJIKDq6OpRkZdhN5ahOh0W5Pd6TER0pvj2MlEMiLeAGMsK161D5uWXRwYGmVFUm5tNqGzseXwaGtp8DIhEScRulVGQ2TcQhq8F4a7GRERniiGRyGQMiGOv6K67hg2Kx+M8KOpCoMWloNkVMA7bJqLkpuoCjZ0BtHcr4BoxIjpTDIlEJmJAHD/DBsXW1rgNij5Fx8l2P7p9PB+NiPoSQqCrR0Vjpx+KxqRIRKePIZHIJLrfj+OrVw8ZEFMYEM9YIgVFIQQ6PApOdfDmj4iGF34zye3lm0lEdHoYEolMEA6I/urqyGC/gMhzEMdG0V13ISvOgmJtiw+/ePMEHn+1Djtr3FC14DKyTg9v+IgoOroQaHUraHEFuPyUiEaNd6BEE4wBceIV3nUXAKDrjTeCA73PUQwFxam//CWshYVmlWjYvK8Dv3/3pDFbuL3ahX+6sBhnF6eZXBkRxaNunwZF86Mg0wabhXMDRBQdXi2IJhADonkKY3xGUdEEfr25Ab/e3GAERFUX8AV0fHCky7S6iCj++UPLT70BDac6/PjlWw348cZabDnYYXZpRBSjeCdKNEGiCYiTf/ADgAFx3MTqjGJ7t4Kf/qUOx5q9xphf0aGFWpemplgmtB4iSjy6AI43+/DYX2rhCwSPythZ48aeOg++fGkJUmycNyCiCF4RiCYAA2LsKLzrLmRddllkwOQZxf0nPPj2s9VGQNSFgC+gGQHR6bDg0tnZE1YPESWugyc9aHcr8CmacenbergTj7xwDE1dAXOLI6KYwpBINM4YEGNP4T33xERQ3LyvAz98uQauUAdCTRfwK7px9mFxTgq+8ply5GfYx70WIkp8Dmvwtk/X0edaU9/mw3efr8bBkx4TqyOiWMKQSDSOGBBjVzRBUWlpGZfvLQTw7N8b8evNDcaMoaIFA2K4jHMrMhgQiWhMnV2ShumTgk2wdBG85qihPdDdPg0//L8a/P0w90ATEUMi0bhhQIx9hffcg8yLL44M9AuKNbffPuZBUQjgf/56Aq981GqM+VUdihrcI2SRJVy9oAD/eGEx7FZeoolo7FhkCV9eXoLF07IABM9fDai60SxL0QR+/mZ9n+sTESUn3oEQjYORAqLj7LMZEGNE0X33TWhQ3Ha0C+8d6jS+lV/RoYVu0NIdMtZcVopLZueM2fcjIurNZpFx0/lF+NySItgsocZdqg6/EnyjarCVDkSUfBgSicaY7vejdpiAmDp7NsoYEGPKRAbF2lYfgMhSr/BNWFGmHfdeWYFpRTwPkYjG36fOzsLqT5fB6Qj+LtJ0AV+vJe+b93Xgx5vqjFlGIkouDIlEYygcEL3DBMTSf/1XSBYeaRBrJiooTp+UCl2Em0YEv8dZk9LwlSsmI8fJNw6IaOJMK0rF3SvLkJdhAwDooeZZ4avf7lo3/m/n1t1tAAAgAElEQVTH+OzNJqLYxpBINEZGDIhVVQyIMa7ovvuQcdFFkYH+QXEMmtnMKHbi4lnZsFlk2CwSLpiZgzsuK4PDzssxEU28wkw7vvKZyZic7wAQOYYnvNL0EDueEiUlvm1NNAaiCoj/8i8MiHFg0te/DgBwv/tucEAIQArt22lpQc3q1aj45S9hKygY9Wu7vCra3AouPycPK87JgxCALI1Z6UREpyXdYcGdl5fjD+81Yk+d29gvbbdKRngkouTCt66JzhADYuKZ9PWvDz2jGAqKo5lRFEKg1R1Am1sxxiQwIBJR7LBZJNxycTGWz8mFVZYghEBZbgpWnJNrdmlEZAJJCMEdyUSnKZkDYltbG1atWgVZlrFlyxazyxkXjT/+cWRGETBmFAHAVlAQ1YyiEECzK4AevzZeZRIRjSlfQIdf1ZGVFlxwlpVmRW66zeSqiGgicSaR6DTpfj9qbr89KQNispj09a8j/YILIgOjnFHUhUBjp58BkYjiisMuGwERALp6VLR1K8N8BRElGoZEotMQDoi+Y8cigwyICal4/frTCoq6AJo6A/CFzh4jIopnrh4VLS4FXIBGlBwYEolGiQEx+YwUFGvvuKNPUNQF0NjhY0AkooTS7VPR4lbAnEiU+BgSiUaBATF5DRcUA83NRlDUdIFTHT74Vd5FEVHi8fg0NHX5GRSJEhxDIlGUGBCpeP16ZA4TFI/fsQYnjp5EgAGRiBKYN6CjscsPnUmRKGExJBJFQfd6GRAJAFA0RFAUkNDT0o629fdCbWszqToioonhC+ho6gwwKBIlKIZEohHoXi9q7riDAZEMBd9Yj2PnXoYjlnwct+TCjRQEYIEOAG0t6H7oGxAul9llEhGNK5+io7HDD505kSjhMCQSDYMBkfoTAvjN39uxYdo12D1lCbySDXWWbAQQ+RkQzY3ouv+rDIpElPD8qkBTJ5eeEiUahkSiITAg0mCe2d6Od492AwD2z/8MdpcvDi41lW19fj4YFIkoWfgUHU1dAbi9GjZ+3Io/vt+I2haf2WUR0RlgSCQahO714jgDIvXz3Med+OuhYECEJCGgAXvmrsCesgWwidBxFwyKRJSEXD0qHvjjUfxpayM27WzFd54/iu1Hee0jilcMiUT9hAOinwGRenl5jxub9oZueCQJfkVAD23EEZdfDefChZEnMygSUZLZU9+Nxg4f/GrwDTNNB37+Rj0+qXWbXBkRnQ6GRKJeGBBpMK8fcOPPOzuCDyQJfkU39t+cVWDHPyzMgnPNXZAWfSryRQyKRJREwlc8TRPwK8GgqOoCP3u1HvtPeMwrjIhOC0MiUciIAXHOHAbEJPS3I934445QQISEgCqMTn4VuTbcsjgHNkvwUupcczdkBkUiSkJzSp3IcdoAAJoujPNiA6qOH2+qxdHGHjPLI6JRYkgkQpQB8fvfZ0BMMrsbvPj9to7Qj4KEgCaghRJicZYNty7Nhd0q9fmatGiCopvLr4gosTjsFqxdUYrMVCsAQNV0Iyj6FR2PbqxFY6ffzBKJaBQYEinpMSDSYOo7Avh/77YZobB3QJyUacEd5+ci1SYN+rUjBsX1X2FQJKKEk59hxx2fLoPTEQmKiha8/nX7NPx4Ux26fZqZJRJRlBgSKakxINJQXtjZBV9oX42iwQiIBRlWrD4/D2n2wQNiGIMiESWj4hw7br+0GCnW4C2moupQQ9fPUx1+/PQvdUZwJKLYxZBISUv3eHDsttsYEGlQrZ7gu92agHGDk5Ei4/ZP5SI9JbpLZ9qauyEtXBoZYFAkoiQwOT8Vt11SjNB2bShqZCXGwZMePPnWid6XQyKKQQyJlJR0jwfHvvxlBOrrI4MMiNTLvFIHdCEZe2psFgm3Ls1BduroLpvOtfcwKBJR0ple7MTnlhZBkgAhBAJqpCv03w934W/7O0Z4BSIyE0MiJR0GRIrGVXOzsGRKKnLSLKjIteGOZbkoy7ad1muNFBQ7GRSJKAEtnpaFy+bkAQhe9gKKMC5/O46x0zNRLGNIpKTCgEjRUDWBDo+Kq+Zk4JsrCrDuwjxMzjm9gBg2XFAEgyIRJaiV8/KwoDITAKCHZhQBIDf9zK6pRDS+GBIpaTAgUjR0IdDcrUIJ3ciMJefaeyAzKBJREpEk4KbzJ6GqPB1AsAlYWooF1ywsMLkyIhqO1ewCiCYCAyJFQwig2a3Br4x9QAxLW3sPen4B6Ds+iHxTKdQpNRQUs//zZ5AyMsatBiKiiWSRgNsuLkFtqw/egIZpRamQh28QTUQm40wiJTwGRIpWq0eFNzD+Z3ilcUaRiJKMJAEVBQ7MKnXCbpXR1aPC7VXNLouIhsCQSAmNAZGi5fJqE3rIM4MiESW7tm7FOI+WiGILQyIlLN3tZkCkqPhUgfaeiX9HO23tPZAWLIkMMCgSURIRAmju8kPVeGgiUaxhSKSEpLvdOH7HHUMGxLS5cxkQCUCwiUJrt2rawc7OdV8ZMSjq3QyKRJSYNB1ocQVMuwYT0eAYEinhhAOiv64uMtgvIJZ873sMiAQhBFo9+rh0Mh2NkYJi1zcYFIkocfkUHR0exewyiKgXhkRKKAyINBrtPTp6/LHROIFBkYiSWVePCs8E7gsnouExJFLCYECk0fD4dbhirLNe+tp7IM2dHxlgUCSiJNLqVhAweWUHEQUxJFJCiCYgcg8iuXwaNF1A0YDW7tgKiAAgJAnpX/k6gyIRJSVdCDR3BaBzfyKR6SQhuFWY4lu0AREy3xMZS21tbVi1ahVkWcaWLVvMLmdYjS4V//VOC050KMhwWHDtvCxMy7OZXdaQJCHQ/bMfQ+zZ2Wuw18nThcXIevRxyOkZE18cxSVF0+HqGX4pn9UiIdUuw27ltfJM6QJo6vSjOCfF7FLiUlqKBUVZdrPLIEpqDIkU13S3G8dWrx6xiykD4tiLl5CoaMB3NzWioTMAAAhogFWW8NDKAqRYpRG+2jwMijSWalp8+K/X6kZ+IoBspw2T8x2YXebEvMnpDI2jcKojgA+PdWHncTd0CHzvc9PMLilu5abbkJVmNbsMoqTFf30UtxgQKRp/3NFuBERNBI+80HSBNo+GkqzYvQSGl566H38U2PtJaFBEgmLzKXR946sMijTmOj0KOj0Kdte6sfEjGZfNzceyGdmQY/c9FVO5vCo+Pu7GjmMunOrwG+PpqdzecCY6PAo0XWBXbTd0IbB4WhYy+HdKNGFi9w6JaBgMiBSNXQ1evH24GwAggFBDBAlpdhn5zti/2RCShIyvfoNBkUzT7dPx0ofN2FXrxq0XlyDdEfv/biaCognsq+/Gh8dcOHzSwz1048DtVfHvL9aiJxDcP/7i9mY8cuM05GfE7lYBokTCO2iKOyMFxNRzzmFAJLh8On71fpvxoxFQBYBguLpidjrsMbzUtLdwUMScc3sN9m5mEwyKbGZDo5XttGH6pDTjv8n5DmQ7B78BP97sxX+/fgLuGOsIPNGaXQE89/cmPPJ8NZ7ecgoHGxgQx8v2ahda3f7QtRvo7FHx8zfq+fdNNEE4k0hxJZqAWPa97zEgJjkhgF9tbYPLF2ylruowbiyqJqVg8ZQ0E6sbPc4o0niYU56O6xYVDBjv8KjYfrQLf9vf0ec4ghaXH7995xTuvLwMliRde7q3vhvbjnaZXUZS8CnBi7aq6bDIMiyyhMOnevDyjhZcO8jPLRGNLd5JU9xgQKRovXXIjV0nvACC4VDRgj8nWakWfG5+tpmlnbZwUJTmzOs12G9Gcf29nFGkM5bjtGLlvDzcd9XkATOLNS1ebDnUaVJlscnpsGDp2Vkoy3OYXUpCWTA1A5bQr/OAqhuXuxc/bMbRxh7zCiNKErybprjAgEjROulS8dzHoZtYSUIgFBAlAJ8/Lxtp9vidARGShPSvrh86KDadRNf6e6ExKNIYKMi0Y/XyUtgsff/NvLmrDf5RHHiuaAI1LV7srHHjgyMu7K3vRkO7D2O1alDTg6//SY0b26u7cLDBA9cwy2LDz99d241t1V3Yd8KDrp7RLaN12GQsrMzE6uWl+O4N03DjkiLkOLk4aywVZdlx+bx8AMHLXPhnTtMFfv7mCXgDwx/pQkRnhlc0inkMiBQtTQd+saUN/tAelt7vPl84zYmz8uO/4UE4KHY//p8Qe3eFBnstPW06Cdf6e5H5nz+FhUtP6QxNyrbjgpnZ2LyvwxjzKTo+rHbhghnDz8q3uAL4654O7K5z91m2GpbusOC8qZn49JzcYRvitLkV/PtLx/uM3Xl5OUpzUvDXve344EjXgMAgS8CssnTcsLjQOEZB0QTe3NOObUc60e0bGDCmFqZi1YJ8TM5PHbKWKfkO/POlpZhRkgZrki65nUjLq3Jx+KQH1U1e6LqAoumwWWQ0dwXwzJZGrP50qdklEiUs3lVTTGNApNF4db8LtW3BFvTB4y6C48VZNqycnW5iZWMrmhlFF2cUaYycf3Y2+seh3bXD/2xtOdiJH2+sxY5jXYMGRADo9ml490AH/uOl4zjY4BlVTQ0dfjy2qRab97UPOqOkC2BffTce21SD9m4FXT0qfrKpFm/taRs0IALB5jxPvNmAI8MsZZxWlIaqMicD4gSRJeCLy4qRag++iaBqkf3l7x7swN76bhOrI0psvLOmmDXiMRcMiNRP+LgLSJJxY2qVBf5hQVbC3dQxKNJEyU23YVJOSp+xmhavsde3vzf3tOGlD5uH/Hx/PkXHrzc3YE9d9Df8L3/YjLZuZcTndft0/GlrI379t5No6gqM+PyAqmPDe41DBluaeNlOKz63pBAAIIRAQNFCHwNP/e0k/Ar/f0U0Hnh3TTFJd7tx7Pbbhw2IpQyI1M9gx11cWZWJoozEXFlvBMW5QxyP0XQSrge/DuFlkwc6M6U5fZuyaDrQMkjoOnyqB6/vahswPrM0HTcunYRbLirGqoUFA5q86ALY8H4jml0jBzkAxn7GaUWpuOq8fNywpAjL5+SgOMc+4LnVTV40tPkAAE6HFRfPzsX1iwtxxfx8zJ2cjv7vH7m8Kj46xjdXYsm5FRlYUJkJoG8zsuauAP68vdnM0ogSVmLeOVFcMwLiiRORQQZEisLlszKw4cNOaHrwneVpBXacX+k0uarxJSQJ6V/5Brp/9ijEnkGOx2ioR+f99yL7Rz+FlBpfR39Q7MgepClLu0dBSW5khlEXwEsftvR5n0KSgM8tKcLS6Vl9vvaiWTl45aMWvLM/stcxoOrY+HEL/vmSkfeZSQBuWjYJi0LBIewz8/Lx9JZG7KkbGPJK81Kw9tPlSEvp+7vjo+MubHivsc/Y4cYefOrsvjWTua5ZUIhDJz3o9mlQNQGLDMiShNc+acXFs3JQmpsy8osQUdR4l00xhQGRzsTKWem4eVE2llak4uo5GbhtycC9VIkoHBSHnFEMBUXOKNLpSrEN/JfkVfru7Ttwwo2mLn+fsfNnZA8IiEAw5F19XgHOmtT3jYv9JzxoimI2cdG0rAEBEQAssoQrzs0bMC5LwD9dWDwgIALAgqmZAzqThmceKXY4HTKuXdRr2WmoQZkugF2DvClARGeGd9oUMxgQ6Uy19+iYUWjHdfOycME0J2yW5PlZYVCk8TTYvyWtX/+XXXV9m89IAD5dlTvka0oSsHJe30AnBLCvfuQmNnmZQ3cqLsyyD6h3amEq8jMGLkUNK8rqOwvl8fN4hVg0vyIDs8qCq0N0XUANdbHJS4//ztVEsYbLTSkmJHNA1HUdmzZtwptvvom6ujpYLBZMnjwZV155JS677DJI0ujmwt577z28/vrrwz7noosuwooVK86k7JjjVXS4hzkbLRkYS08ffxRiL5ee0viS+l2OjzV7+zwuy3MYx08MZWpBKtIdlj4dR6ubvFhelXP6dQFIT7WgozvS0MRuG/53R/8jOBSNzVBi1Y1LivDzrnq0uhUoqo75Z2Vh4SCzykR0ZhgSyXTJHhC/+93v4u233wYAyLIMSZLQ2NiI7du347333sN3v/tdyKP4s+/fv994vaGUlpYmVEgUAujo4U0dEG5mw6BIY6tnkJk1hzVyXVI0HZ2evt1Gi7NH3iMmSUBxjgNHTkVmD9uj6Fo6WmLERqvJsDA9MWSlWbF+VQWONXlht0qYXZYOS4J1ryaKBQyJZKoRA+LChSh96KGEDIgA8PTTT+Ptt99GZmYm1q9fj4suuggAsHXrVvzHf/wH/vrXv+Lss8/GzTffHPVrdnV1AQCuuuoqLF26dNDnVFRUnHHtsaTLp8OvcHlYGIMijTWPf+Asfe/Ztx6/PiCIOR3RXbed/fYJ9g+bRP1ZZQlnFwevXT1+DT1+DWkplhG+iohGgyGRTJPsAdHv9+PZZ58FADzwwAO45JJLjM9ddNFFkGUZDzzwAJ555hlcd911SEuL7ma+s7MTALBw4UIsX758zOuONYoGdPbwprI/BkUaS6c6BzaTKcgceo8fMPg+xsEMnAWK7nzFURmHl6TY0datwGG3DDjOhIhOX2LefVPMU12upA6IQHC2sKurC0VFRcYMYm/Lli1DWVkZXC4Xtm7dGvXrhkNiVlZytG9v86hRLCVLTuGgKM0ZoZmNzzvwi4lCAqqOE/26feY4rchMjbzPnGofeK2Odl+fr99h6HZr4l73aXyomkDHOCxTJkpmvBLThFNdLtSuXp3UAREADh06BACYP3/+oHsOJUnCokWLAAA7duyI+nXDy02zs7PHoMrY1u3X4A1wmelwogqK67/KoEhD+uiY2zhuIKyqPKPPY7tVHjBz2N4dXSOp1n5HXmQNciYj0UjcPg0BlXvTicZKYt+FU8wJB0T/cAHx4YcTPiACwNGjRwEEm8gMpby8HABQU1MT9euGZxJzck6/O2A8EAA62awmKuGgiKp5vQYZFGlkvoCGt/a19xmTJGDpWQNXKkzO79uoprbVN+Isf7dPRUu/kFiS7Ti9Yoczyi7RFH+EEGjjbCLRmOHbdTRhog6IScLlcgEA0tPTh3xOZmawrXdjY2NUr6nruvG6GzZsQHt7O1wuF+x2O0pKSrB06VIsXrx4VN1SAaC7uxu1tbV9xsIzlmbp8mpsUz8KQpKQce96uH/6n8C+XaHBIfYoOlLNK5RihiaAP/29ecAyvtllThTnDNyPOK0oDdVNkTcaOj0KjjT2GA1GBvPRcTf0fkFyZgn3yNLp8QV0eAMaUu1sYkN0phgSaUIwIA7U0xM81DwjI2PI54Q/5/VGN8Pj9XqNcxWff/75AZ9//vnnUVVVhX/5l39BUVFR1LV+8skneOCBB6J+/nhTNYFOT3KfiXg6RgyKJ+oYFAkA0OQK4M8fNPUJfQCQYpVx3aLBrx1Lp2fhrb1t6P3ezf992IyvXDkZKYPsM+zwqHhrb99ZSqfDgqpy55n/AShptbkVlOZaOHlMdIYYEmncMSAOLhAILrGy2WxDPiclJbh8S1WjC0ROpxO/+c1vsG/fPlRUVCA7OxuapqG5uRm7d+/Gn/70J+zbtw9f/epX8bvf/c54/ZGkpqaiuLi4z1j4dc3Q7tXYrPA0MShSWKsrgN213cZjv6aj06PiyCkPjjd7B8zwSQBuvmAScobYM5iVZsWis7LxweFOY6yxK4An3jiBG5cWojQ3uIxUCOBoUw+e3doIj6/vnuLlVblRd0UdDcHuVklD0QTcPrVPYyUiGj3+C6JxxYA4NIcjeMPk8XiGfE546ajTGf0765WVlaisrOwzVlFRgcWLF+OCCy7A2rVrUV9fj02bNuH666+P6jUXLFiAF154oc9YW1sbVq1aFXVdY8WnigE3ljQ64aDY/ZMfQezfHRpkUEw2B096cPDk0Nef3uxWGf9w/iRUlQ+9PB4ArlmQj+pGL1pcfmOsvs2HxzbVIdtpQ7rDgk5PAN2+gUvFpxWl4sKZid9wi8ZfR7cCZ4plkONViChaid8dhEwzUkB0LlqUtAERiOw3dLvdQz6nuzv4Lv9oQuJwZs6caRy38dFHH43Ja06ED2u9+OnmVvzPe23Yd9I38hfQiIQkIf1r90OafU6vwV6zLSfq0PnA19jMhlCW58BXPlOOc6YMHxCBYJhcvbwEBZkDVyl0ehScaPMNGhDL8xy49eIS3tTTmNAF0OFhExuiM8GQSOMimoBY8u1vm1BZ7CgrKwMQ6UY6mPb24H6dkpKSMfu+FRUVI37fWPJhrRf//U4Ldtb3YEu1B4//rQWuQW4yafRGDIr1tQyKScoiAzNL0/HPl5bi3isnozgnuqXpAJCXYcM9K8uxeFoWRop8NouES6tycdfKMqSljF+zEa42TT5urzbg6BYiih6Xm9KYY0CMzowZM/DKK6/g8OHDQz7n4MGDAIIzgGMlvLw1PJMZyzQdePbjUJiVJCiqDiGA/ad8WDqVHRDHQjgoDrn0NBQUs3/4Ey49jWNZaRZcWjX8sTipdgtS7RYUZdlQmpMCxxl0iHQ6ZNx0fhGWz83BnrpuVDd60eVV4AsI2K0y8jOtqCxMw/yKDGSlDX8rkmqXB9Q+tWD4YzLOPzsLPf7IsvT8jIHdWHubXZaGjNTI++aj7QANAHMnpyM/I7LHPMXGDptma+sOoDg7+jc4iCiCIZHGFANi9JYuXQpJkrBr1y50dHQMONfQ7XZjx44dAIBFixaNyffUdR3btm0DAMyePXtMXnM8vXu0Gy3u4JIhVRPGj1KqnYsgxlIkKP4QYv+e0CCDYiLJcdrw2fMKJvz7FmTYsbwqF8urTv810lIso659eVXuqJ4/b0oG5k0ZutN0NBZMzQSmntFL0Bg70ebD0++eQrNLwazSNHxx2SQej0EUJd5p0ZhRXS7U3H47A2KUiouLcf7550NVVfz0pz+FpkXe9dZ1HY8//jh8Ph+mT5+Oc889t8/XvvDCC/j85z+P3/zmN33GP/nkEzQ1NQ36/Xw+Hx5//HEcP34cqampuPLKK8f+DzWGFE3g5T3Bxj2QJONMxEyHjNmT+M7wWAsGxQcgzZ7ba5BLT4koPukC+NXbp/BhtQuNnX5s3teBX77dYHZZRHGDM4k0JsIBMdDQ6wLMgDiie+65B7t27cJf//pXnDhxAhdeeCFkWcb777+PvXv3wuFwDHo+4c9+9jNomoZf/epX+MIXvoDU1ODszrZt2/DMM89g9uzZqKioQFFREex2O06ePIktW7agvb0dsizjwQcfRF5e3kT/cUflb0e60R46C1HVBBDa3XTpdCdsFja3GA/hoMgZRSKKd02dfqPLrqYLWGQJH1a7UN3Ug2lF3K5ANBKGRDpjIwbExYtR8tBDJlQW+8rLy/H444/jkUcewcGDB409iACQl5eHb33rW5g1a9aAr3M4HPB4PLBarbDbI3ttZs+ejZycHOzduxd79+4d8HUzZ87E3Xffjfnz54/PH2iMBDSBjX1mETUAErJSZSyu4C/38SQkCc5770f3o/8OHD4QGmRQJKL4kpVmg0WWoOkCqhYMiUIAf97egvuvnmJ2eUQxTxI8YZbOAAPi2NB1Hbt27UJ9fT0URUFpaSkWLFgAm8026PMPHz6MTZs24bLLLsPcuXMHvNaxY8fQ2NiI9vZ2+P1+ZGdnY8aMGZg8efKY1Rw+J1GWZWzZsmXMXhcAXt3vxp92dAAILjtVQ81Mbzg3E4unMCROCF3vGxSBSFAEgPIpwXMUU4ZvIEJEZJZntzZhe3UXACDFJhtHrHz7+krMLOHvEqLhMCTSaWNATG7jFRL9qsA3/rcheMyFJMEbCM4iZqfKuH9FIbjSdAIxKBJRHOvwKPjBSzVQdQFZgtGxd2aJE9++nl2GiIbDxjV0WhgQaby8ccBtnIOoqDrCexEvn5XOgDjRZBnp3/gWcHavJc/9m9ncfy+E3zfxtRERjSDHacOi6VkAgo1sgvvbgYMnPTjQ4DGzNKKYx5BIo8aASOPFqwi8tt8dfCBJUPXgz1VBuhXzy7g0yBQMikQUx1bMyYXdGrzdDYdEAHj+g8E7gRNREEMijQoDIo2n7TU96A4dgK2okY6ml81Ih8xZRPOEgqI0fWZkjEGRiOJAVpoVS4zZRGG8+Xj4VA/2neBsItFQGBIpagyINN58oQ41AoCqBz+elGnFvDLueTNdFEGx64GvMSgSUcxZXpUDmyU0m6hGrlubdraaVRJRzGNIpKioHR2oue02BkQaV4umpCHVJhvnIkoScOXsdHASMTYIi2XYoCjqahgUiSjmZKZacf7ZkdlELTSbuKfOjfo2Xq+IBsOQSCNSOzqCM4iNjZFBBkQaB7lpFnxrZSHOK0/F3FIHbluagxlFnEWMJQyKRBSPLp6dg9BkorE3UQjg/UOdJlZFFLsYEmlYDIg00bLTLLjh3Cx8aWE2ZhSmmF0ODSIcFMW0Gb0GGRSJKHZlpVlxbkUmAEDTBUKTiQjtbCCifhgSaUgMiGQGt49Ht8YDYbEg8/6Hhg+K37yPQZGIYsbl50Q6nSqaDrtVwkWzc0yuiig2MSTSoBgQyQwev46AqpldBkVpxKBYe5xBkYhiRn6GHfdeNRkXzMzB0ulZePiGSpTlcsUK0WAYEmkArb2dAZFM4fZz3U+8YVAkonhSlGnHdYsKcP2iQmQ6rGaXQxSzGBKpD629HcdXrx4yIKYvWcKASOPCq+jwBjiLGI/CQVEaLig+dD+gqiZUR0Q0OLdXNTqdElFfDIlkiCYgFn/rWyZURsnA5eMsYjwTFgvShwuKx46g85v3MSgSUcwQANxevjlJNBiGRALAgEjmUjSBHj9/Ucc7BkUiijcur9r7MkVEIQyJBK29HceG2YPIgEjjzcW9iAmDQZGI4ommC3j4JiXRAAyJSS4cEJWmpsggAyJNICGAbi8DQyJhUCSieOLm7yCiARgSkxgDIsUCT0AH+wYknmiCYseDDIpEZD6foiOg8hcRUW8MiUlqpICYsXQpAyJNiG4uNU1Y4aAonzWz12CvG7FqBkUiig2cTSTqiyExCUUTECc9+KAJlVGyUfWRSakAACAASURBVDTBYy8SnLBY4Fz/LQZFIopp3T42sCHqjSExyTAgUizhsRfJgUGRiGKdLoAevmlJZGBITCIMiBQLNF3gQKMPR5v96PbxF3KyiCYodj74dQZFIjKNi0tOiQwMiUmCAZFigSeg47ubmvCDN5rxyKtN+MX7bVDZtSZphIOiNO3sXoO9mtlUH0bng1+HYFAkIhP4AjoUjb+TiACGxKTAgEixYuMeF+o7AgAATQeqWwL4uN5rclU0kYLNbL49bFDsYlAkIpOwgQ1REENighvxmAsGRJogqi7wXrUHACAQXHYKcF9iMmJQJKJY5fZpOHKqB8ebvWxkQ0mNITGBae3tOPblLw8bEIsZEGmC7GnwwhXag6j2Ws4zNdduVklkIgZFIoo1voCOH2+sxXeer8bDz1XjR6/UcEsEJS2GxARlBMTm5sggAyKZaHttZFlpOCPmpsmozGdITFZGUKyc3muQQZGIzLHlUCdOtPmMYLinrhvv7O8wuSoiczAkJiAGRIo1iiawM7T3UBeRH8dzSh2QJBMLI9MJiwXpDzw8fFD81jcYFIlo3HV0KwAAXQdE6Dq09XCnmSURmYYhMcEwIFIs2t3gg1cJ7j3Uem1BPLc01aSKKJaMGBSPHmJQJKJxNzk/+DtJCGGseDl8sgftofBIlEwYEhMIAyLFqm01HuNjLfQzWZBuRXGWzaySKMYwKBKR2eaWp8MiB5e3hJurCQDbjnaZWBWRORgSE4TW1saASDEpoAnsavAB6LfUtMRhYlUUi8JBUUw9q9cggyIRTQynQ8ZZk9IAhJecBse3HXWZWBWRORgSE4DW1hY85mKIgOj81KcYEMk0n5zwwhdeatqrSdy8Mi41pYGExYLMb35n+KD40HoGRSIaF/Mq0gGEl5wGrz3VTT1odXPJKSUXhsQ4F01ALPnmN02ojChoe02P8XF4+c6kTCuKMixmlUQxbsSgeOQggyIRjYt55RmwhpacqqFN9EJwySklH4bEOMaASLFOANhzcuBS07lcakojCAdFTKnsNcigSETjy2GXMb0kuORUCCmy5PQIQyIlF4bEOMWASPFA1QQC6sClptyPSNEQFgsyvvUIgyIRTah5UzIA9F1yerzFi+augJllEU0ohsQ4xIBI8cJmkbB0qhNAZKnprKIUFGZYzSyL4giDIhFNtLll6bBZwktOQ11OBbC9mg1sKHkwJMYZBkSKN//8qVxcPTcLMwpSsPzsdHxxYbbZJVGcMYLi5Km9BhkUiWh8OOwyzjaWnEYuN3vru02simhiMSTGEQZEikc2i4RPz0jHbZ/KwcpZ6bBbJbNLojgkLBZkPPS9PkFR9A+KPB6DiMbInPJIl1M9dK3x+DUzS/r/7N15fBN1/j/w10ySJr0vaAttuZH7FlBYRUFw1wW81l1FjsUDRFdlVQTlvr2P1e9vd3VRFFFxXW8WRERZBEFA5L6Ro4WW3lea5prfH2mmSZsmaZtkcryej4e7zWQyfdOmmXnN5yIKKIbEEOEpIMZdey0DIgWtapPkeSciD+oHRQH1giLXUSQiH+mbHY/4aNss3LWTnOKqrokKVkQUWAyJIcCbgNjm8ccVqIwUIUmwVlbCWl2tdCVeMVsk1Jh495V8g0GRiAJBFyVixphs9O8Qjw5pOky8pg1uGtBK6bKIAkaQHM+uFHRCMSCWfvUVzAUFbvdRRUdDiI1FVNu2iOrSBepE3p1rlNWK6qNHUX3wIIwXLsBSUQHJWntbUxShzcyErksXRA8eDHVCQsDKKioqwvjx4yGKIrZt29bofhUGCworecFOviVYLKhYvhA4/ysA23IrglDXlVno0g2JK16AoOYkSUTUcpkpOg6XoIjCkBjEQjEgAsDlf/wDxpwc718gCNC2b4+EESOg7drVf4WFIFNuLoo++QTm/HyP+woqFRJHj0bc8OGA4P8TmbchMb/CDD3HcZA/mEyoXLm40aCILt2QxKBIRD6QEqdBYgw/SyhysLtpkArVgNgskoSas2dR8M47KP7gA1j1eqUrCgqGEydQ8K9/eRUQAUCyWFC6cSNKv/rKz5V5T5IkGIwMiOQnGg3inloIKbsDgIZdT3HqOEqffgJg11MiaiE9z2UUYRgSg1BEBcR69IcPo+CNN2AuLVW6FEWZi4tR/OGHsJpMTttVWi10V1yBuCuvREyvXhB1DRelr9y1C9WHDweqVLcMZglW9lUgf9JoEP/0IrdBsYRBkYhaqMZklWc5JYoEbDcPMpaiIpy5916YHMf0OXwoJYwYgfTHHlOgspbJcKy5duIVc2Ghbazd8eNO/0ZTYSGK3nkHradPdxmCIkHZf/8Lq9HotC2md28kjh8PVUyMvE2qqUHJJ59AXy8Ulm/ZguhevQJSqzsGzmpKgVAbFCtWLIJw4awcFOWup7VBMXnFCwC7nhJRM0gSYDBaEaNVKV0KUUCwJTGIhGtABAB1UhLUKSm2/1JTEdW+PWIGDULqxIlInz4d6uRkp/1NBQUoC6Juk4FkLi62BWcH2vbtkfzHPzoFRAAQtFqk3HEHNK2cZ1wz5efDXFLi91o9qTZZlS6BIgVbFInIz9jllCIJQ2KQCOeA6IkmKwut778fqnozc1bt34+as2eVKUpBhhMnnH73ABB/7bUQxEb+XNVqxA4e3GCzpbDQH+V5zWK1dc8hChh7UMxqD8B1UCxb9DQkCy/0iKjpqo08p1HkCGi/m5qaGrzyyivy45tvvhndu3cPZAlBKZIDop0qIQHJY8ei8P336zZKEip++AHaDh08vt6q10O/bx8Mx4/DmJ8Pq14PUaOBGBcHTWYmort3R3SfPo0HrVqVu3bBdOmS/FiTmYm4wYMBsxlVP/+M6iNHYMrPh6WqCqJWC3VyMnQ9eyJuyBCIjt1AzWZUHzgA/YEDMF2+DEtlJUS1GqrkZOi6dkXs1Vc3uuyH01jUWlEdO7qtW52W1vBnYjC4fY2/VXNtRFKCRoP4uYtRsXwhhJxzDbqeWo8cRPnCp5CweCUEFbuNEZH3zBYJJosEjYpLYVD4C2hI/OKLLzBnzhz58YkTJ7Bq1apAlhB0GBDr6Hr2hCY9HSaH2TwNJ07YAl+9bpYySULljh2o2LIFlpoap6esRiOsxcW27psHD0Lz3XdIGj8e2k6dGq3BcPIkDMeOyY+jy8uhbdsWRevWwVxc7Hz86moYq6thvHgRVbt3I3XCBERlZsJ46RJK/vMfmPLyGtaTnw9Tfj6qdu1Cyh13QNezZ4MaotLSIPXuXbdBpYIYFdVozQAg1ZvgBkCDltlAM5g5HpEUwqBIRH5SY7JCw88NigAB7W769ttvOz1et24dKioqAllCUDEVFDAg1hPdp4/zBqsVhpMnXe4rWa0o/ve/UbphQ4OA6IqpsBAFq1dD//PPXtdjvHQJhW+91SAg1mcpK0Pxhx/CdPEiCt9+u0FArM9qMqHoo49gdtFqGHvVVUi58866/+64w2OdpvrLZAgC1K1be3ydPxkZEklJtUGxsa6n1iMHUc6up0TURAYOo6AIEbCQmJubi02bNjltq6qqwscffxyoEoKKqaAAZ++/nwGxHm12doNtxtxcl/uWb9oE/YEDDbarEhKg69IF2g4dGrbAWa0o+ewz1Jw541U9looKOYCKOh00GRlQp6a67LZqLinB5X/8Q17nURBFqFNToUlPd9kSKJnNKP/2W6/qcMtqbRB8dZ07N976GgBWSeJ4RFKep6B4+ACDIhE1Cc9tFCkC1t30nXfegcXFifjtt9/G1KlTA1VGUPAYEK+7Dul//asClSlP46L1y+xiAhbTxYuo2L7daZtKq0Xi+PGI6dsXqO1WJplMKNu0CZU//ijvJ1mtKPnkE2TMnOnVdPgqrRaJY8cipl8/oDYcWqurUbp+PfS//OK0r2S1nTx03bohafz4unGHkoSq/ftR+umnThek1UePQjKZIGg0HutoTNWuXQ1mMo1xMZFNIFgl4Hi+ARU1ViTpRI7bIOV56npaGxQTFq1g11Mi8shotsIqASJPbxTmAtaSuGbNGvnrSZMmyV9v27YNxxzGgIU7BkQPXKyLaK2ubrCtfMuWBjOAJv/pT7YgJ9R9cgsaDZJ+/3vEXXWV077m0lJU7dnjuR5BQPKddyJmwAA5IAKAGB2N5Ntua7D0BABEZWcjdcIE54lpBAGx/fsjdsgQp30lqxXGnBzPdTTCXFCAsnot9Nr27RHjYqyjv5ksEp775jKe2XQZr35XiJe2FKCihndcKQjUBkWBLYpE5ANsTaRIEJCQ+L///U8OgqIoYvny5ejbt6/8/LvvvhuIMhRnKijAuWnTGBDdEKOinEIeAEj1FpW3VlY2WEdQ1707dFdc0ehxE8aMadD9sqpeK6ArqpgY6Lp2dfmcIIrQuph1NOG66xptkYhyMVOrpbzcYx2uWPR6FK1dC6vDpDWCSoXkm29u8DMMhF1n9TiaZ5tR1SoBxXor/neqKuB1ELmk0SDWQ1Dk8hhE5A2OS6RIEJCQ6DhhzfXXX4/s7Gyn1sS3334b5jBf4NgeEI2OE5UwIHqnXuAxnD7doBUxdsAAt4cQo6IQ4zhjKGxjHS1VLQsxqtTUBtvULloX7TQulr2QvJh0p8FrLBaUfPghTPW64iaMHu1yOYxAOHypbskNS2232xI9L7gpiHgIihKDIhF5oUxvwrmCak7QRmHN7yGxsrLSaXIaezicMGECVLWtLXl5efj666/9XYpiGBCbwGxuEACFeuMGHdcxtNNkZXk8dFS7ds4bJKnFC84LTWyxk1zsbx/H6P1BJJR8/DEM9SbfiR0wAPG/+U3TjuVDJwtsLb4SBNguv4HMxICuskPkGYMiEbXAL2crMOf9U5i77jRmvnMMJ/P0SpdE5Bd+D4nr1q1DZWUlACA6Ohq33HILAKBt27YYOXKkvF/95THCBQNi07gafyjWG6doqb9siihC7cWagOqkpAbbzKWlTSswCJSuXw/9wYNO26Lat0fSzTcrVBFQWm1FQYWt26vFWvf+bp/ifn1HIkXUBkUp0zabMoMiEXnDaLZi3Y/58uQ15dUW/Otb1zOwE4U6v4dEx/B36623ItGhu51jl9Mvv/wSBY5j9cKAp4AYf/31DIj1mIuKGmxTJyfX28m5a7Kg0Xg3Bs/FDKLWeuMdg13F99+jcudOp22ajAy0uvvuBi2ugXSmsK7LrLX2PS4KErJTmj9rK5FfaTSIn7eUQZGIvFaqN8NotvX+sd8QzS2pQXGlyd3LiEKSX0PiiRMnsGPHDvnxxIkTnZ6/7bbbEBcXBwAwGo147733/FlOQHkTEDNmzlSgsuBW42KmT3VGhvOGemHP6zexi3Gvoj+CleSfMQpVP/2Ess2bnbapU1LQesoURddEBIDzJXUnSHtDYtvEKGg4RzgFMwZFImqClDgN1LXnNatDr5nzhYbGXkIUsvwaEt966y35hJuWlobRo0c7PR8bG4tbb73Vaf9wwIDYfIZDhxpsqz+7qCo62umxxWiEZPJ8F89S2+3ZkdLhylvVhw6h5Msvnbap4uPR6s9/hhgfr1BVdXJKaltkBUF+q7dNZCsihQBvguLiuWEdFC/nX8Lmr9fjrX++jr//7QW89c/X8em/P8CpE5GzPBWRN9SigNaJtmEUjp8TF4oYEin8+K1/mtlsdlobccKECVC7aLWZNGmSvN+hQ4ewZ88eXHnllf4qy++Mly7h7PTpzt0mGRC9UnPmTIOWxKjsbKhTUpy2qVq3dn6hJMF06VLDiWnqcTXhjbr+sYJQzZkzKP73v53eR6qYGLSeOrXBz0Yp54ptId3xzmpGAhcmpxBRGxQrls2HkHtBDor2iamkQ/tRtnguEhcub3R5m1C0+ev1eOP/Xsben350uuB1lJbeBlPum4FJU6cjLghuSBEprW2yFpdKamonabO5UNT0WcqJgp3fWhI3btyIixcvyo8dxx86GjVqFLIcZqYM5QlsGBCbT6qpQcnnnzfYHj98eINtOhdrDeqPHPHwDSRUHz3qtEmdlNRwvKMv+LC7qSk3F0XvvefUiiFGRSF10iTFlrqoTxI18qQ1jv/yNglsSaQQotEgwd1kNrVBMRxaFAsLLuOeCbdg2uQ7sGfXjkYDImBrZXx++QLcNHII9v+8O4BVEgWnjCQtANvng/2+KFsSKRz5LSQ6hr0ePXpg4MCBrgsQRdx1113y47Vr10KvD73phBkQm89SXo6CVasaTFqj7dAB0b16Ndhf3bo1NOnpTtv0u3fD6qI7qV314cMw5ec7bYvu1UuRRee9ZS4sRME77zhNriOo1UidOBFR2dkKVubMrEuVw6Hjah4ZDIkUYqQoLRLmLgaybL0SwjEoXsy5gD+MHYnvv93ktL1Hr764c+JUzHjkCdw341GMGnMTYmJj5edzzp/DhNt/x6BIES8zWSt/bZ+o7WJJDUwWrplI4cUvIbGoqAjr16+XHzfWimg3ZcoU+euysjJ89tln/ijLb4yXLuHstGmNBsQEBsSGzGYYz51D2caNyH/lFRgdWp0B21jB5Ntucx3iBKFBC6O1pgaFa9a4DIo1Z8+i5NNPnQ+hViN26NCW/zv8xFxejsLVq2F1vGEiikj94x+h7dRJucJcMGlT5a/t7/oEnYiYqOAN4ESNkaK0iH96kfuguCg0g6LBUI37Jv0B58/WrbE6cPBVWL9lJ9Zv2YkVL/4fZs1dgqcXrcSbaz7Gj7+cwj3TH5a73Vbr9bhv0h9QWlKs1D+BSHEZSXVLO9mHWFisEi6VsMsphRe/jElcs2YNampsfyyCIOCmm25CSUlJo/u3bdsWPXv2xJHaLoNvvfUWJkyY4I/SfE4OiMUOJ816ATGdAREXV66UvxasVlhqGv8wFXU6tLr7brfj7WIGDID+l1+cFpQ35uYi75VXENO3r60rptUK47lz0B896tzEBSBhxIigGc9Xn9VoRNE77zRYw1HU6VC5axcqd+3y+lixQ4a4bI31Jau6bvIf+11VTlpDocweFCtWLAJyzjcco3jYFhQTF4XWGMVXn1+OY0fq1lgd/dux+L9Va6FWu/57jU9IxLwlzyIxKQkvP7sUAFBUWICXn12Kxc+8HJCaiYJNYowasToVqgwWOAzDx4UiA9q10jX+QqIQ45eQuHr1avlrSZLQv3//Jr1+y5YtOHPmDDoFWYtJfQyI3rNWV3u1nyYjA6l//KPn8XaCgJQ77kDBqlUwFRbWfR+DAZU//eT2pdE9eyJ+xAiv6lGCtbKyQddYALDq9TCcPt2kY+muuMJXZTUqqtpWq4S6t3/3dJ4oKbSFW1DMz7uI1W/+P/lxuw6d8Oo/32k0IDp68NEn8dVnH+Pkcdu47n9/8C5mzV3CiWwoYmUkRuG0wfm6hpPXULjxeXfTPXv2YP/+/S06hiRJePfdd31UkX8wIPqWOjERSTfdhLQZM7yekEWMj0er+++HztubCbXdVFPvvBMQ/br6S0SJqjyP2wckQ6MSIQoShrSPxtAO0Z5fSBTkPHY9PRw6XU8/fO9t1NTUTa7x9KKV0Om8+ztVqVSYOHWa/NhgqMbmr9e7eQVReGubYrsRarVK8qXf+ULvboYThQqftyQ6TlijUqmQkJDg9Wurq6thMNhOYqtXr8aCBQsgBuHFPAOie6JWCzG68YsPQa2GqNPZZhdNT4eua1dEdewIoRm/a1VsLFrdcw+qDx9G1e7dqPn11wYXbCqtFtpu3RA3fDiiMjObVLu7fwcAQK1uuI+byXAElarB/qKm3p18QfD8fb3lYtkZfxjfJx7XdolFYaUJKg5FpDAiRWkRO2cBKpcugJB/0WWLYvmSeUhYsCyoWxTXf/4f+evWaekYNeamJr3++lG/xUL8VX78y88/4ZY/3Omz+ohCSUai8+Q1KkHA5XLP6zUT+dLWrVvxySefAABSUlIwf/58t7lp+/bt+Oijj+T9582bB5Wb85YguZv7uokMBgPatm0rjz+cMGEC1q5d6/Xr3333XadJbL755hvccMMNvirPJxgQg5vVaIS1tBSWigpAEKCKi4OqVatmBVByr6ioCOPHj4coiti2bRsuV5hRVRP8LSpEzSEZquWgCNi6VwsON4TEPv2RuHB5UPZSKLicj6v6dpJbQf84YQqeefnvTT7OtMl3wFA7dKBX3/6YPX+ZT+skChVFlSas/OxXSBKgUQvQqEQM7JiAx37vfr1mIl8yGo34wx/+gGPHjgEAZs+ejXvvvdflvuXl5Rg7dizy8vIAAP/4xz8wcuRIt8f36dns008/dZqgZuLEiU16/e233464uDj5cbCtmegxII4cyYCoMDEqCuq0NGg7d4a2Uyeo09IYEAPEYvW8D1GoEnTRiJu/BFJ6W9tjOHc9tR78BWWL5zaYJCsYHD922KnWnr37Nes4b7z7b7z776/w7r+/YkCkiJYap8Hv+reCKACSJKBVvAZ3DUv3/EIiH4qKisJLL70Enc7W/fnll1/GiRMnXO67aNEiOSBOmDDBY0AEfBwSHUNdWloaRo8e3aTXx8bG4tZbb5Uff/LJJ25nRQ0krwLio48qUBlRcDCa2YpI4S1Ug2LO+XNOj9t37KxQJUThY1TvFMy7rRNmjWuPFyd1QxuH9ROJAqVLly547LHHANhaFp988kmYTM5dnzdv3oyvvvoKANC+fXs8+eSTXh3bZyExJycHW7ZskR/fddddUDdjPJTjmooGgwEffvihT+prCQZEIveskuQ0FThRuArFoFhRXub0uClzBRBR4xJj1GibrIWKHZZIQVOmTMGI2ln7jxw5gr//vW44QXFxMRYsWADANlfMiy++iJiYGJfHqc9nb+tVq1bB4jBhyN13392s44waNQpZWVnyY6W7nDIgEnlmsXK2Gooc9qCIDNtEWMEeFB1nNQWAaC8vEIjIMxPHWpDCBEHA8uXLkZSUBAD4+9//jgMHDgAAFi5ciMLapeJmzpyJvn37en1cn4RESZKwZs0a+XHXrl0xePDgZh1LFEVMmDBBfrx79+4WL6nRXAyIRN7hSZIijaCLRuzcRe6D4pJ5QREU689PJ7iZgZmImkaSAAu70pDC0tLSsGLFCgCAxWLBk08+iY8++ghff/01AGDQoEG47777mnRMn4TE7777DqcdFvmePHlyi47nOMMpALzzzjstOl5zmC5eZEAk8pKZJ0iKQEJ0jPugeGBf0ARFIvIfk4XnQFLeDTfcgDvuuAMAcObMGcyfPx8AEB8fjxdeeMHtcheu+GQRtR49emDPnj3y465du7boeD179sS+ffvk7quxsbEtOl5TmS5exK/TpsHsOGkOAyJRo0ycs4YilD0oVi1fBOTlNlhH0R4UExcsU2x5DJ3Oed1Vs8msSB1E4YotiRQs5s2bh927d+Ps2bPyTctFixYh08M64a74JCS2adMGbdq08cWhZP379/fp8bzlKSAmjhqFtEceUaAyouDFlkSKZPagWLlsIYT8i0EXFBMSk5weV1SWB7wGonBmMlsBbdNaaYj8QaPROC0nKAgCUlJSmnUszsfkgAGRqHl4F5UinRAdg7h5ixuf9VTBrqf1Q2LB5fyA10AUzszsUU5B4tVXX8WhQ4fkx5IkYdasWfLkNU3BkFiLAZGo+Uw8QxIFbVDs1r2n0+Njhw826zh7du3AD//bgh/+twUH9u31RWlEYYHnQAoGe/bswb/+9S8AQEZGBh566CEAQGFhobwMRlMwJIIBkaglJEHkGolEtYIxKHbs3BVJyXXdjX7aub3Jx6jW63HXrTdi8h1jMfmOsfjX31/1ZYlEIY29aUhpFRUVmDVrFiwWCwRBwLJly/Dwww9j6NChAIDNmzdj3bp1TTpmxIdEBkSilor4jxEiJ14FxZVLAhYUBUHA8Guulx//vHsncs6fa9Ix9vz0o9NayL36KjNvAFEw4rh8UtqiRYuQm5sLAJg4cSKuvfZaiKKIZ555Rp4AdMWKFThz5ozXx4zoqzsGRCIfUGjGRqJg5jEo7t2FsmeWBiwo3j31fvlrSZLw+svPNOn1X3zifAd69G/H+qQuonAgSWCPGlLMF198gS+//BIA0KlTJzzxxBPyc5mZmZgzZw4AoLq6Go8//jhMJpNXx43YqzuPy1wwIBJ5ZIzNQlVKH5wrNipdClHQqQuKttm/GwTFPTttQTEAhl59DXr3GyA//vjDNfjfd5u9eu3xo4fw2ccfyI+vHDoMnbpc4fMaiUKZheuhkgLy8vKwdKntPKJSqfDss88iOtp52aM//elPGDFiBADg8OHD+Nvf/ubVsSMyJHoTENMZEInc+uJINUo63oKK9OH4+w/F+OF0ldIlEQUdW1Bc4j4orljs/zoEAc+98g9oNFG272u14qH7JuD7bze5fd3pk8dx/+Q75K6moihi7qKVfq+XKNRYJUHpEijCWK1WzJo1C2VlZQCABx98EP369XO57/Lly5GYmAgAePPNN7Fz506Px4+4kMiASNRyeqMVW07VyI8lCfjmeKXjnxIR1QqWoNi9Zx/MX/acvH5jVWUl7r37VsyYeic2rv8cp08eR0lxEX49fRLfbPwKc/46A2NHXe00fvEvf52DfgMH+71WolBjZUsiBdg///lP7Nq1CwDQq1cvzJgxo9F909LS5BlO7eGytLTU7fEFSYqcyzrTxYv4dfp0mIuL6zYyIBI12bmiGjz1WQ5++uknQNRg4JW2i8bl49KhFnk3lcgVqVqPymULIORfsj0G5MAGAOKVVyHx6YV+r+P9d/+FBbNnNumiVhAETHvor5g9f5kfKyMKTQajBTVmCR3TopEYo1a6HIoQx48fl8cXZmZmIjk52eNrjh49KvcM8fSaiAmJDIhEvnPkkgHL/ptrC4kqDQYOGgy1KGD5uHSlSyMKasESFA/s24uFTz+G/T/v9rhvtx69MWfBcowYOdrvdRGFmtP5erz9/SWYrVZEa1S45/q2uLaH54t1omAXEbc7GBCJfKuiwRNOTwAAIABJREFUxrEFwnaBGxPFFkQiT+xdT+1B0d711B4UrXt2onzlEiQ81fSFj5ui74BB+M/677D/593YtOFLHNi3FwUF+aisqEB8QgJat07HgCuHYviI6zH06mucgiwR1fl4ZwGqjRZo1CLMVgmrt17C4M4JiI5SKV0aUYuEfUj0FBATb7gBaQ8/rEBlRKGrsqZhN7VYbcQNcSZqFk9B0bL7x4AERVEUMeDKoRhw5VC/fh+icCVJQEF5jfw1ABjNVlwqNaJTWrSbVxIFv7C+qmNAJPIPVy2JsVFh/XFC5FNCdAxi5zY+mY09KBJR8BIEQKuxtRhKqPv7rTRYlCqJyGfC9qrOmJvLgEjkJ44nQPtfVQxDIlGTiDEMikShLlZnO/c5zvBRUW1WqBoi3wnLqzpjbi7OPvCA64AoCEj+/e8ZEIlaoMro0JJY20WO3U2Jms6boFjGoEgUtGLsYw8ltiRSeAm7qzqPAfGmm9Bq2jRliiMKEyaL/WRYN5mFVsWJLYiaw1NQtDIoEgUtrcZ+KV13DjSaI2LhAApzYRUSGRCJAsNoaXgC5PqIRM3HoEgUmuRzn8Mp0GTxfg1SomAVNiHRmJuLs42NQWRAJPIps4vznzpsPk2IlCEHxbQMAAyKRKFALfc2rftbNVvZkkjBx2q1YvXq1aiurvZq/7C4rJMDYklJ3UaHgJjIgEjkdyq2JBK1mBgTg9h5SxkUiUKESmx4KW120duGSGkrV67EihUrMH36dK+CYsiHRG8CYhoDIpFPdUjRNNjWLrnhNiJqOgZFotChlsfj190oNbnqbkOksJtuuglxcXHYuXMn7r33Xuj1erf7h3RIZEAkUsb4vonokaYGBECwWjCmexw6pEYpXRZR2GBQJAoN9jGJzt1NlaqGqHEDBgzAqlWrEBcXhz179uC+++5zGxRDNiQyIBIpR6cW8OCwOKQefxepZz7CqG5xSpdEFHbkoNg6HQCDIlEwUqkabrNyTCIFqaYExZAMiQyIRMFBZa6GYOWiwUT+IsbEIHb+MvdB8ZmlClVHRGkJWvlr+99m6wQOv6Dg5W1QDLmQWHPuHM78+c8wFRZCqF3EmwGRSCGcq4bI7zwGxZ92MCgSKWRolwRkp+pqHwnITtVhdN9URWsi8sSboBhSIdGYl4dTd90FS3ExYDLBajAA1tqO34KA5LFjGRCJAok9aogCQoyJQdzcJUBqawC192ckCSpTDdTVlRD/9w0qnnxU0RqJIlGUWsSVnRPke6ZZqVpEcU0oCgGegqIgOd6OhG161Ly8vIAX6o0xhw4h23EdRNjuplpVKpzMyMC+du0Uqowo8hgMBvzw4x5YtIm46qqrlC6HKCJEW8y48cgviDcaEGUxQSVZAaGuSf9/nXril7Y8FxIFil6KwSFzNwCAGhYIgoD24nm0V+coXBmRd0pKSnDgwAHo9XqMHTsWL730EgBAXX/Hbdu24dSpUwEv0BvDtVpYa9ejcezlVmMy4aNTp3D+5EllCiOKVKIWkiThxx9/VLoSoojxiyBgiWCCKFlsjfl1/4PY0yew9eSvClZHFFnMyT1gTKtt4bcYAUgorLyMI2c3KFsYURPcfffdeP/999GrVy95W4OQ+OCDD6K0tDSghXkr7sgRiBs2wGq1QgKgUqkgiSKiBQFz4+Jw7ne/g6F1a6XLJA+++OILnDp1CmPGjEHv3r2VLoeaqaCgAO+u/QgAcM+99ypcDTXHjzt24OjRoxgwYAAGDByodDnkBdFkQvevv0RUmRWS2QjBYgYgQai9gZo8cAgevuo3yhZJTbZ7927s3LkTPXv2xKhRo5Quh5rgaLEOBwujcfbsWQBAx44d0SG5I343uZ+yhVGT/Pjjj/jmm2/Qr18/3HzzzUqXE1C7d+/G+++/D0mSUFZWJm9vEBLHjh0b0MKa6rDVCvOGDRAEASqt1qmbTbfvv0e75csR1bmzghWSJz/99BNOnTqFgQMHYty4cUqXQ8106tQpvLt2HQDgxjFjFK6GmiM3JwdHjx5Fly5d+DsMAYKxBhUrFgH6CkCjAdRqmPWVUEtWCKIIoX0nDFj5PAYoXSg1mV6vx86dO9G+ffuIu0ANdVG/FKLgYDHOnTsHCUCbNm0woFtrTBzXXunSqAlqamrwzTffoGPHjpg4caLS5QTMunXrsHHjRkiShHvuuQePPfaY/FzIjayVJk7EWpMJJkkCRNEpJErV1Tg/dy5qgrS7LFHY4eymRIFhMqF8xWIg5zwAW+dSSRBggIgqQQ1zz/6If32VsjUSRSCLizUR1SqeHCn4rVu3DgsWLJAD4pw5c5yeD7mQCABfms3YEB1dtwRGvaB4Yd48BkWiQODspkT+ZzKhYvlCCDnnANj+7ASH894JQY2klS8C6gadg4jIzyxWx0e2k6JGzZBIwc1TQARCNCQCwBatFmnTpzMoEilIYkok8i8PAfGkoMazFhUklUqhAokim9lqbbBNLTIkUvDyJiACLsYkBrvk5GTccsstSEpKQuqkSQCAy//8p21hYUEAalf0sAfF7GXLoO3SRcmSqZ6BAwciPj4eWVlZSpdCLRAVFQUBktMFK4WWLl27orq6Gu3bc+xMUPIQENGlG3anZOB6UYQohuw9XwLQoUMHjB49Gj179lS6FGoii8X2/61bt4YomaBSqdjdNAR17doVt9xyCwYNGqR0KX7lbUAEXKyTGIqK1qypC4qAHBQBQIiOZlAk8oOioiKMu/k2WKNT8cEHHyhdDlF4MZlQtXwhpEYCotizDxIWr4TAFkQiRb2/PQ97z5RDEARER9lu1ozuk4IpI9oqXBmRs6YERCCEu5s6Sp00Ca3Z9ZRIASF/j4ko+DAgEoUMs6XheVCjCovLawozGo0GgiB4FRCBEOxu2phWtV1PC9x0PeXyGES+xpBI5FMMiEQhxSKPSaw7H/LPk4LRbbfdhiuuuMLrNcrD6lZHKw8tijnz5sF4+rRC1RGFH3NUEszaJKXLIAoPngJir74MiERBxt6Q6Pi3ypZEClbeBkQgzEIiUBsUp02zLSwsCE5B0aLXMygS+YDFCvxzZxWKu96Nkvbj8MaOYphcdLmhABIE+TNP/uyr9xnYtMMJXv1HPuJNQFy0ggGRKMjERqkAQYDjFB9JMWHTUY8iWNiFRABoNXky0qZNsz1gUCTyuR9OV+FQngn27jWnC4z48axe2aIiVP2wJjj8v/yfnwIdbwv4CAMiUcga3j0JUaq6z9hW8VEY2jVR4aqIWi5sb3XYl8fIf+MNCKi9mKm9y2MPilnLlnGMIlEzXCozOTyy/V3llJpc70x+IwiCLVCgLhw2pv5YbXfH9Pr7A5C8OCa5YTKhYtl8CLkXADAgEoWadqk6PHpTOxw4X4G2SVqM6JmCWC3/Xin0hWVIrKmpwcmTJxH7m98gHbagKGNQDBiTyYRffvkFFy5cgFqtRlZWFvr379+s9bxKSkqQn5/vdp9WrVqhVatWzS037FRXV2Pv3r3Iy8tDTEwMOnbsiB49evjk2Lqout+h/XJWb2y4oDD5n2OkMxgMOHToEAoKCqDT6ZDdrh261H6+OY7VbmzlI8dwUlhYiLKyMrffOz09HXFxcZAEwRYYGRabxocBUa/XIycnB4mJiUhPT/dXxdREBoMB58+fR0xMTLPXBi4uLkZhYaHbfVq1aoWUlJRmHZ9aLiMxCq2u0OLCyYP4+qsiqFQqdO7cGX369OEapgopKSnBvn37UFRk+3106tQJffr0gaoZN9wKCwuRl5fndp+0tDSkpaU1t9ygFHYh8eLFi3jkkUdw4MABDB48GGvXrgVQGxTr3Um3B8XM5cuh7dRJybLDzs8//4wlS5agoKDAaXtmZiYWLVrU5AWDP//8c7z55ptu95kyZQqm2bsZR7ivv/4aL730EiorK5229+zZE4sWLUJmZmaLjh+ndTjp1f49VdUwIARS/Ra/H374AatWrUJVVZXT9s6dO+PRRx9FRkaG02s9Bbp169Zh69atbvd58MEHcd1119X11iDv+TAgnj59GosXL8bFixcxevRozJ49219VUxPk5uZi8eLFOHPmDAYNGoRnn322Wcf59NNPPa5FO3XqVNx9993NOj61zOnTp7F69Wrs/nErJIPzjbWsrCwsWrQI1157rULVRZ7jx4/j1VdfxXfffQeLxeL0nP0adMSIEU065gcffIDXXnvN7T5/+ctf8MgjjzS53mAWViFx69ateOKJJxrc/U6dNAmW6moUvvuuy6CYO3cug6IPnTp1CrNnz4Zer0f37t3xm9/8BgCwfft2HD16FI8++ijefPNNdOjQwetjlpaWArC1XCQnJ7vch62INj/88AOWL18Oi8WCIUOGYMCAAaipqcG3336LI0eO4JFHHsFbb72FxMTmj5mIi2p4Z5QtiYFTPyDu27cPr//f/8FqsaBvv37o1bMnjCYTdmzfjtOnT2PJkiV45plnkJCQ4Pa49q6rAFBeXg4AyMjIQExMjMv94+Li6moCg6LXPAREoQkBcfPmzXjllVdgMBj8VS01w44dO/Dcc881uFHXHPZrmrS0NCQluZ5Nmq2Iyti4cSNefvllWCwWZKSmYPSI3yM9PR1FRUXYtGkTcnJyMH36dLz11lu4+uqrlS437H3yySeYO3eu7feRkYHrr78eGRkZKC4uxqZNm5Cbm4sHHngAb775pnxt6o3i4mIAQJs2bZCamupyn9atW/vk3xBMwiIkWq1WvP766/h//+//QaPR4JZbbsFnn33mtI99IhsGRf976aWXoNfrMWbMGMyfP1/uajFlyhQsXboUmzZtwksvvYS//e1vXh/TfpKcOnUqxo0b55e6w4HZbMbzzz8Pi8WCe++9F/fcc4/83KRJkzBz5kwcPHgQb775Jp544olmf594nWNIrG1JZEgMGMcwZ7FY8MYbb8BqseD222/Hn/70J3m/W2+5BUuXLcPxY8fwwQcfYPr06fJzrloTHaNnRUUFAGD6Aw+glxct/wyIXvIiICZ6ERBNJhNef/11rF+/HvHx8Rg6dKjHll/yP4vFgtWrV+PDDz+EVqvF6NGj8c0337TomPbz33333YeRI0f6okzykT59+iAxMRHjxo3DjHsnonVS3Q21xx9/HH/+85+xb98+PPvssw2uS8n3rrzySqSkpODOO+/E9OnTERUVJT/32GOPYerUqfj555/x7LPPNikklpSUAAAeffRR3HbbbT6vO1iFRUfp+fPn4/XXX0dSUhJWr16NYcOGudwvbdo0tJo8uW6203qznubOnYuaM2cCUXLYOnXqFPbv3w+NRoNHH33UqS++KIqYOXMmoqKisHfvXpw8edLr49pbEhtrRSSbrVu3orCwEGlpaZgyZYrTczqdDo8++igAYP369S26wx0b1XByE5NFgsnCoBgQDuFu9+7dKCoqQnJyMm6//Xan3aKionDP1KkAbO8Nd7/z+q2T9pbERA+tj4DzxGDkho8CIgDMmzcP69evR5s2bfDKK6+gE29wBoUXXngBH3zwAZKTk/H888+jb9++LT6mPSS2pPcH+UdmZibWrl2LSZMmIVqndXouOjoaDz/8MADgyJEj8mcq+U+7du3w3Xff4eGHH3YKiIDt92G/Bjp+/Lh8XekNe0iMtBb7sAiJEydORL9+/fDxxx9j0KBBMJkan2WRQdG/9u7dCwDo37+/y24xiYmJGDRoEABbt0hv2f+YG+tqQzZ79uwBAFxzzTUuB2f36NEDmZmZMBqN2L17d7O/T7zOoROCQzjQGxkUAsExWBw6dAgAMHjwYKjVDTuHdOzYEW3atIHZbMb+/fu9/h7ltS2J7rqoSmBA9JZgrPFZQASAW2+9Ff369cNrr72G9u3bw2w2+6NsaqLx48eje/fueO2119CjRw+31yPe4k3S4KbRaAAAKrHhzdPs7Gz56/rjxck/6odDR839fdi7mzIkhqAePXrgo48+kmcO8zQhQ9q0aWg1aVLjQXHePAbFZjpx4gQA4Iorrmh0H/ukNcePH/f6uPY7qQyJ7nnz8+/evTsA4NixY83+Pk4T1zioNrElMRAcP+F+/fVXAECHjh3rnpckp326dOkCADjj5eeayWSCoboaokqF2NjYRvdzXIeRGicYa1C+fKHPAiIAXHXVVXjhhRfkz0SrlX97waBHjx547bXX5BlmfTHjr70FytOYYlKWq4/BoqIiAIBarea8CUHAPkuwSqVq0u8jUlsSw2JMItD0i5S02rE5hWvWNByjWFWF3HnzkLlsGccoNtHFixcBuA9z9ruh58+f9/q49pCoVqtx8uRJlJeXQ6vVom3bthH3R+uOfYpmdz9/+8/rwoULzf4+WrUATe31rOAQRzjDqf/V/6y7fPkyAOduofX3sXdTu3jpUqPHdTVpTVxcHCorK1FYWIjq6mrooqORkZGBOBfB0ZsZUyORPwKi/FqG86Dky9+LxWJBZWUlBEGAKIo4deoUKisrodVq0aZNG944DSKuWhK//fZbAMDVV18ttziScuy/j6FDh0Kr1XrYu449JIqiiKNHj6KsrAxarRbt2rVrdCKbcBA2IbE5GBR9T6/XA3Ce9bC++Ph4AHUTY3hiMBjkmfvqj7kCgG7dumHq1Km45pprmlpu2LF3n3B3x9n+nLc//8bEcobToGD/23CcgdQx8AGQWwMr3fzOXU1aU15Whvvvv995P1FEzx49cOedd6Jbt24tqj3c+TMgUmSoqKiQW4n/+Mc/Nni+e/fumDx5MoYMGRLo0qie+iExNzcX7733HgDbpEOkrEuXLmHNmjUA0OC85k5lZaXcbfy6665r8Hzv3r3x0EMPYdSoUT6pM5hEdEgEvAyKy5dD69CVixpXXV0NAG67qNlDoj1QeqJSqXDjjTfi4MGDaN++vXznNC8vDydOnMDx48cxZ84c3HfffZhaO0lHJDKZTPIHmbufvz3Ae/vzb0yMfFO0rvXIwIlrAspisaCmpgaAc0iUP8tq2d8P9n0bI0kSBEFASkoK+vXrh4KCArTNzER8XByMRiMKCwtx5swZHD58GAsXLcJDDz7odHOGrYl1BGMNKlYsYkCkFtHpdBgxYgROnjyJdu3aITExEVarFXl5eTh16hSOHTuGp59+GtOnT8cdd9yhdLkRSxAEOGZEg8GARx55BNXV1bjlllu4/IXC7L8PvV6P8ePHY/jw4V6/VqPRYOzYsdi/fz86d+6MlJQUWK1W5Obm4siRIzh06BBmzJiBxx57DA888IAf/xWBF/EhEbAFRQFAQWNB0b48BoOiR/bZTN0N1jcajQDgdVO/RqPBggULXD5nMBjw4osv4r///S9WrVqFq6++Wh5zF2lUKpV8kW7/GbtiDwruBnd7o21C7cWtQyZI1PGC198cWwlFUYQgipCsVueJS+p1d7P/Pbr7ndsDImBrbZ47d67L/crKyvDa66/jwP79eOONN9C7d2+5CznjoY09ICLH1qWeAZGaS6fTYf78+S6f0+v1ePnll/Hdd9/hX//6F6688kp05HWKItQOCdFsNuPhhx/GwYMH0bt3byxevFjByshsNmPmzJnYv38/evbsiSVLljTp9VqtFi+99JLL5/R6PRYtWoTPPvsMr7zyCq699lp53o1wEFQh8amnnsJ//vMfj/u1bdsW33//vU+/d+vaFkUGxTrPPPMMvvzyS4/7paWl4dNPPwVQ15rhbqp9x/FOLaXT6TBnzhwcOnQI58+fx8aNGyM2JIqiCK1WC4PB4Pbnb+9K2NKf/2+76fBPsx5WTSwACb3b6NA1zfs+/tQ8jvFPEATb77y6GpVuZmqzvx+io6PlbY0FuvpdVetLTEzEX//6Vzw4Ywaqq6uxa9cu/Pa3v5Vri/Sg6DEg9u6HxIXLGRCpxWJiYjBnzhwcOXIE+fn5+Pbbb9mtUSH2P2er1YpZs2Zh69at6NixI9544w2nz10KLKvVijlz5mDLli3o0qUL3nrrLedeNy0UExODlStXYt++fTh37hw+//zzsAqJQTW7qU6nQ2Jiosf/7N0Vfa319Olo3disp7VBsaZ2JsFIoNPpkJCQ4PE/x7Bhn9HN3Xg3+wWrr9Z8UqlU6N+/PwDg3LlzPjlmqEpLSwMAt+sx2X83Lf35p8erkHryPSSf/y8euS4NEwcnuw0X5B+ta2doq3K4MSDAeVbFqtquxY5jVe2zkgqCIH/Wueoq6ir0xcbEyOvy5eTmtvBfED4YECnQVCoV+vTpA6Blk5FRy6hFAVarVV6/tH379njvvfc4o6mCJEnCggUL8MUXX6Bdu3ZYvXq1XyY6VKlUGDx4MADg9OnTPj++koKqJXHhwoVYuHChojWwRbHOzJkzMXPmzCa9pl27dgBsA7YbY5/VtGvXrs0vrh7OcGrToUMHnD9/Xp5l1hX7hYQvfv6CxQhtxa/o0lqDak5aExCO3UIBW8+KCxcuyDPbAg3DyaXa90OHDh1cHlMAINn3lyRIguAUNOsfDwASOauiEwZEUgpnOFWeWhSwZMkSfPzxx8jMzMTq1avRunVrpcuKWJIkYeHChfjoo4/Qrl07rFmzRr6J7g/hOsNpULUkBgu2KDbfoEGDAAD79u1rdAKLvXv3ArCtJ+Ur9hZE+1qZkWrgwIEAgJ9//tnl83q9HkePHgXg25+/RsWPEqX07t0bAHDkyBF5m2Ocq6mpkdfP7NS5c6PHcdUKbG9pdDWl/8XaG0FtMjKaXnSYYUAkJdlv/LVp00bhSiKTJEl44fln8P7776NDhw748MMPkZmZqXRZEUuSJCxZsgQffvghOnTogPfee8/vfxv2NYjtDSXhgld2jWBQbJ4BAwYgNTUVeXl5+OGHHxo8v337dly4cAHR0dG4/vrrnZ4rLy/Htm3bUFpa6rTdYrG4/Z6nT5+Wv1ekL4MxYsQIaDQa7N27V15k3dHnn38Og8GA7OxsOVz4gkbFjqaB5Hj7ZciQIdBoNDhy9CjOuVh7dPPmzaipqUF6ejp61BuvW1RUhD179siTGdm7oFo9/M3t3bsXZ8+ehahSyTeGIpVkqEb54nkMiNQiZWVl2LFjR4OhAp7Of8ePH8eePXsAoEkzNpJv/HiiDFNWfol3fjIhrfs1eO+99+RhNxR4kiRh2bJlWLt2LTp06IA1a9Ygw8sbmaWlpfj222/lNRHtPP0NHj16FN999x0AYPTo0c0rPEgFVXfTYNN6+nRIVisK16512fU0Z948ZD/zDKKysxWuNHhoNBpMnjwZL7/8MlasWIE5c+Zg+PDhEAQBO3bswMqVKwEAf/jDHxpMnDJlyhRcvnwZsbGx+Prrr+ULrbfffht5eXm4/vrr0aFDB6SlpUEURRQUFOCbb77B+++/D5PJhKuvvjri14pKS0vDuHHj8Mknn2D27Nl4+umn0bdvX5hMJmzYsAFvvPEGAODPf/6zPBOtL6h5uymgHCN5cnIybrjhBmzYsAHPP/ccZjz4IHp07w6z2Yz/bduGDz74AABw6623Ov3OjUYjHnnkEZhMJmRlZTnN3vaPf/wD0dHRGDJkCDIyMpCcnAyrJKHg8mV8u2ULNn39NQDgxjFjvD4BhyPJUI3KpQsg5Nu68zIgUnNNnToV5eXlSExMdJrAb9WqVSgvL8eIESOQnZ0td2G0n/8+/vhjWCwWXHPNNfLYRAqMwzmVeGHdLlzKK4UYmwZNl2FYv3UfMuJcD72IiYnBiBEjAlxlZHnmmWewZs0aaDQaTJw4sdFeVYBtIjfHdQ9///vfo6CgAAkJCdi9e7f8Wf7qq68iPz8fv/vd79C5c2dkZGRAFEXk5eXhiy++wFtvvQWz2YyRI0eG3VInDIkepM2YAQAug6K1shIX5sxB1sqV0IZZE3NL3H777Th27Bg2bNiAp59+GqraCyT73Zhhw4a5XMi0oKAAgG1BeL1eL6/tZjabsWHDBmzYsAGAbRZPURSdpvwfNmwYFi1a5M9/Vsj4y1/+gtOnT2P//v146KGHoNFoYDab5e6/f/rTn+TZKH1FxZbEgKo/LnHixIk4d+4cjhw5gsWLFkGtVsNisci/8xt/+1uMHDnS6Rhl5eXy0hh5+flOzxkMBmzduhUbN24EAIi1f8OOLYyjRo3C5MmTG9QVKRgQyVcsFovcglhWVgaz2Qy12nZ5ZjabsXHjxrq/RVGEIAhOrRvDhw/H7NmzA194hDtwrhIFhQUAJEhWK46fOIHFP/yEqMs/udw/KysLW7ZsCWyREeazzz4DYFv2admyZW73dVwpQZIk+Rq0vLwcBoNBnpXWbDbj008/lWfxd3UNOnLkSLz44ou+/ucoLixDYnZ2tpz4fcFTUMx96ilkMijKBEHAvHnzcNVVV2H9+vU4d+4czGYzsrKyMGbMGIwbN04Ojo5Gjx6NTZs2YdiwYU6LwU+ZMgVt27bF7t27cfnyZRQUFMBkMiEpKQndunXDmDFjMHjwYJfjpiKRVqvFa6+9hs8++wybN2/GxYsXIQgCOnfujHHjxjndOfMVjcifvZI0Gg3mz5+PzZs3Y/v27cjPz4cgCMjOzm707mZqSgq6du2KkydP4rc33uj03LRp09C9e3ccOXIERUVFcvebxMREXNGtG6677jp0qff5Gjnx0IuA2CvwAbFDhw4YMWJExC4BFKzatm2LESNGyLMBu6JSqTB8+HBs374d1157rRwQAVsLY1ZWFvbt24eCggIUFRXBYrEgMTER3bp1ww033CDP7k2BVVRpQkpyCqxWC1SwhfaObfqindr1JCacYM//Ro0ahSo3y0E5cvx9CIKAm266Cf/9738xatQop2VL/vKXv6Bdu3bYsWMH8vLykJ+fD5PJhOTkZPTp0wfjx4/HsGHDfP5vCQaCFEm3flvo8t//XhcUgbr/B6CKi2NQpIhSVFSE8ePHQxRFbNu2DeeKamDlp0lANfXGSP0WSF+KlFOJVwFxEVsQicLdkv+cQZneDJUoQKuxdeV/aEw2rr7CN8t7ESlkPdDXAAAgAElEQVSNI4maIG3GDLSaONH1ZDa1LYo1LiaOIIoEGg5MDLjmBDNPr2hO1GNAtGFAJIoMJrOEMr2tu6HjfbdWCRqFKiLyPV7VNVHaAw8wKBK5oOa4REW4C2gun3FY+1BqZF+nr90dX5IYEGsxIBJFjsvlNfLXjme+tISowBdD5CcMic3AoEjUkJZrJSrGHtbk/+qecNruuD8kyXltRPs+tf+5CoD1v0+kYEAkIke5JXUhUawdk58QrUZiTFhO9UERild1zcSgSORMw+vj4OFliPM28EVaKHTEgEhE9eWVGuWvxdrPg+xUrVLlEPkFQ2ILpD3wAFLvvptBkQhAlJrdTSm8SNV6twFR7NOfAZEoAl0strUkCkLdpV/71tFuXkEUehgSWyh9xgyPQdGYk6NQdUSBoxYF+Y4qUaiTqvWoWr7IbUBMWLCMAZEoAl0qNQBw/kzISmFLIoUXhkQf8BQUc+bMYVCkiGCfBpwolNkDIvJybY/BgEhENpUGMyoNVgCA4xLB7VrpFKqIyD94RecjboNiRQWDIoU9SQIuV5hRWGlWuhSiZmNAJCJ38sscxiPWpkRRANomMyRSeGFI9CEGRYpU1SYrln99Gc9tLsDz3xZi7Z5SWCNznhMKYd4ExMSFHINIFMlEQXT42vb5kJWq47h8CjsMiT7GoEiRaOORSpy8bIBQu/jCgVwDDl80KFwVkfe8DYgQedokimTtW+vkrqX27qa/699KwYqI/INnOz9InzEDrSZMYFCkiHGptvuN6DBA42RBTWO7EwUVBkQi8pYoADNGZ+HWIWkY0zcVc27ugGu6JyldFpHP8YznJ2kPPsigSBEjLUFj+0KS5Ld6XjnHJlLwk6r1qFy2kAGRiLwWpRZxY79UTL62DXpnxyldDpFf8KznRwyKFCmykzTy1/YxGrllJpg5MJGCmD0gul0HkQGRiFzQqvm5QOGN73A/Y1CkSNC5dZT8tb3HqdkK5JaaFKqIyD2PAbHvAAZEImoUl3yicMd3eACkPfggUu+6i0GRwlarWDVSYtUAnNeNOlvMkEjBx6uAuGAZAyIRuSQIbEmk8Md3eICkP/SQx6BounhRoeqIWq5ray0Ae3dTWzfT88VGN68gCjwGRCJqKa1adLyMIwpLPAsGkKegeOHJJxkUKWR1TdPWfiXJ4xJ/LeIMpxQ8GBCJyBfY1ZQiAd/lAZb+0ENIve02BkUKO11djEusMgJFVRaFKiKqw4BIRL6iY0ikCMB3uQLSH3sMKbfeyqBIYSU7WSOfOFUOF9pn2eWUFMaASES+xJZEigR8lysk4/HHbUHRjkGRQpxKFNAx1daa6HitfbaIk9eQchgQiciXNCoBKpEDEin88ayooIzHH0fKbbfVbagfFGfPZlCkkHJFus72hSRBrD2JFunNClZEkcwWEBcwIBKRz7AVkSIF3+kKcxsUy8sZFCmk9M/UyV/bb7RmJmoUqoYiWV1AvGR7DAZEImo5jkekSMF3ehBgUKRw0alVFP4wIAkalQBRALq0jsKoK+KULosiDAMiEfmLLkqldAlEAaFWugCyyXj8cQBA8Sef2DYIAiDZ1pqzB8V2zz0HdZs2SpVI5JVxfRIwpkc8qoxWlLGrKQUYAyIR+YtKFKBRcTwiRQaeJYOI28lsystx/sknYb50SYHKiJpGqxaQEqNClJofMRQ4DIhE5E/RUfzsoMjBd3uQyXjiCQZFChscu0GBwoBIRP5SUW3G8Yt6GIxWpUshChieLYMQgyKFi5godssh//MYEPsNZEAkomY5nFOFFZ+dxRvf5uDpD0/hu8MlSpdEFBA8YwYpBkUKBzq1CMZE8iePAfHKq5A4fykDIhE1mQTgP7vyYTRboRIFSADe++ESjGa2KFL441kziHkKihdmz2ZQpKAmCICOYzjIT7wKiHPmMyASUbNcKDTIE7DZ1/6tMVlRabAoWRZRQPDMGeTcBUVzWRmDIgW9GIZE8gOrngGRiPzraG6V/LWqNiQmxaiRHMv1fyn88ewZAhgUKZRFa9jhlHzLqtejarmHgPj0QgZEImqRYxdtIVEQgNqMiD7t4hwvw4jCFs+gIcJTUDw/Zw7MhYUKVEbknkYlcikM8hmvAyIRUQvoayzIKTIAAESHz5h+7eOVKokooHjlFkIynngCybfcUrfBcYxiaSnOP/44gyIFJS6FQb7AgEhEgXL8kh5Wyfa1SmX7nBEFoHd2nIJVEQUOr9xCTJtZsxgUKeRwKQxqKQZEIgqkQxcq5a9VtZ81ndNjEKdTKVUSUUAxJIYgT0Ex54knGBQpqOjUojyeg6ipGBCJKJCMZiuO5NjGI4qiIF9msaspRRKGxBDlLiiaSkoYFCmoCAIQo+XdV2o6TwFRNfhqBkQi8qkjOVXyWohqVd3nzeAuCUqVRBRwDIkhrM2sWUhhUKQQEceQSE3kTUBMeGqBQtURUbj65VzDrqbZqVpkJmuVKoko4BgSQ1wGgyKFCJ1agFWSYLJISpdCIYABkYiUYLECxy/aQqJjV9OhXZIUrIoo8BgSwwCDIoWCT/aXYfGGAsz/Kg8f7yuTZ40jqo8BkYiUYjBaYTTbTlCOXU2HsqspRRiGxDDBoEjB7JecanxxoAySJEGCgN3nq7H9TJXSZVEQsur1qFo2nwGRiBQRqxPROT0agiDIXU17Z8ehDbuaUoRhSAwjGbNmIWn8+LoN9YLiBQZFUsjZYhMA2xpT9rflnvPVClZEwUgOiJfzADAgEpEyJl/bBld3TUS7Vjpc1zMZf7kxW+mSiAJOrXQB5FttZ88GAJR+8YVtgyAAkq3bhLk2KGa/8ALUrVopVSJFoDYJdR81KlGA2SIhr9yMgkozWsfxY4gYEIkoeMTp1HhgdBbXRKSIxpbEMNR29uxGWxTNbFEkBfTPioZOY/u4cRjigQO5BoUqomDiKSCKDIhEFEBctomIITFsMShSMNGqBfRpqwPg3OX0lxx2OY103gTERAZEIgognUaEKHjejyicMSSGsbazZyOZQZGCxJAOMfLX9skALldacK7YqFRJpDAGRCIKRvHRHAZBxJAY5towKFKQ6J8VjWiN7f3nOK347nNsTYxEVr0eVUvnMSASUVAR2dWUCABDYkRgUKRgEKUScHXHWACAAAli7fvwl1wDDCarkqVRgMkBsSAfAAMiEQWPOJ0a7GlKxJAYMRgUKRiM7BYnf62uvVFrskjYn8MJbCIFAyIRBTPOaEpkw5AYQdrMno3ksWPrNjAoUoBlJ0ehYyvbgsQqUYAtIgC7uGZiRGBAJKJgptOI0Gp4aUwEMCRGnDZPPeUxKJqKihSojCLFiC62LqeQJKhVto+g3FITCirMClZF/iZVVkK/+GkGRCIKWmxFJKrDkBiBPAXFnMcfZ1Akv7mqY4y8ZqLaYY7xshpJqZLIz6TKSlQtnQcUFdgegwGRiIKLKAiIZUgkkjEkRqg2Tz2FpDFj6jYwKFKARGtEuTVRgARRFBCnFdEuiVOOhyMGRCIKBbE6lTyhGhExJEa0tgsXMiiSIu4YmISbeiWgbVIU+mbqcN/VyYhS8+QcbhgQiShUcG1EImeCJEns4xXhLi5ejNJNm+o2OLwl1MnJyHrxRWhSUxWojIJZUVERxo8fD1EUsW3btmYfxyoB54tqwA+i8MKASEShIkotIDNFp3QZREGFLYnkuUVx1iy2KJLfiAI4DiTcVFS4D4hDhjEgElHQYCsiUUMMiQTAFhQTbrihboNjUCwqYlAkv0riCTp8VFSgctl89wFxznyFiiMisvnxRBme/fwcnvviLPacqVC6HKKgw5BIsqzFixkUSREaFRCtZWtiyGNAJKIQcCy3Ch/vysfl8hoUV5nx1ne5OHShUumyiIIKQyI5YVAkpSTq+HEU0hgQiShEbDpYDMD2GWVfiumXs2xNJHLEqzJqgEGRlBCtEaHV8CMpJFVUoHzpXAZEIgp6v1424FxBNQDbmHj7R1WrhCgFqyIKPrwiI5eyFi9GwqhRdRtcBEUzgyL5WAInsAk9tQFRLLZ9HjAgElEw+/5I3bWLRm27DI5Si/hNtySlSiIKSgyJ1KisJUvcB8Unn2RQJJ+KjRKh4qdS6GBAJKIQUlBuxOELVQAAURRQ29MU1/dKRhxvUhI54eUYueUuKJoKCxkUyacEAUiM1ihdBnnDQ0BUDx3OgEhEQWXrsVJ5TV6NyvZ5JQrAjf24FjRRfQyJ5BGDIgVSvE6E6PAeoyDkRUCMnz1PoeKIiBqqNJix93QZAFswVNU2I17ZOQFpHI9I1ABDInkla8kSJI4cWbeBQZH8RBTAbj/BjAGRiELQ9uNlMJpt7Yhqdd3l7039WylVElFQY0gkr2UuXcqgSAGRwOUwghMDIhGFoGqjFduOlQKwjUW0L3vRrW0MumTEKFkaUdDilRg1icegOGcOzGVlClRG4USjEtiaGGwYEIkoRH1/pATVRgsAQK2q+9y6aUBrpUoiCnoMidRkboPi5cvIeeIJBkVqseQYFS6Wm3D4Ug2qaqxKlxPZGBCJKITtPFnbiijUtSK2bx2NgR3ilSyLKKgxJFKzZC5digQGRfKjD/eU4v/+V4x3fyrBs5sLcL7EqHRJkamiAhVuAqKKAZGIgpgkAUaz7UajWl332XX7kDRwjjSixjEkUrNlMSiSn1wsN+ObYxWwzS0gocYs4T+/lMtTl1OA1AZEwU1ATGBAJKIgJgi2GUwdWxF7ZsViAFsRidxiSKQWYVAkfyipMgMABABqle1jKq/cjAO5BgWrijAMiEQUJm65Mg13DU/HwI7xGDeoFf56Uzu2IhJ5oFa6AAp9WUuXIgdA+ZYttg2CYOvfgbqgmPXCC1AnJipXZBCSJAlbt27Fli1bkJubC41Gg44dO2LcuHHo2bNnk4+3c+dO7Nu3z+0+w4YNQ79+/ZpbcsB0aa1FbJSIKqMVGpUAs8UKQMDm45Xo01YHkSd3/2JAJKIwotOIuH1outJlEIUUhkTyiaylS5ELoMxNUMx+6SWo4tm9AwCsViuWLl2KTZs2OW0/ePAgvvrqK9x///2YPHlyk475ww8/4NNPP3W7T0pKSkiERK1awG97JeA/+0oBSYJaFGC2ApcrzP+/vTsPb6u60wf+nnPv1ZVsybZsJ3YSb9k3CKFACNmAUpbSNEBJKcyUdqYbpVCgSSDQUuivQKGl0JmyU+h0odOhTGkLU0pTSAgBEgKkQBISCFm8xXYcW7a8ar2/P64k20lsy47tK129n+fJ80RXi79KpGu9Oud8D/5Z04lTStmyfNQwIBKRzXizNatLIEo7DIk0YibdcQeA/oNi9apVDIoxv/rVr7Bu3TpkZ2fj29/+Ns444wxEIhGsW7cOTzzxBB5//HFUVFRg2bJlST9mS4vZve3cc8/FtGnTjnmbefPmjUj9Y+H82R78Y5cf/u4oNFUiHIwAEFi3qx3zS7KgcDRx5DEgEpHNOFSJbG6pRDRkDIk0ohgUB9fR0YHf//73AIDbbrsNS5YsSVx35ZVXQtM0PPDAA3j00UexZMkSSJnc0uF4SLzggguwcOHCkS98jOmqwIUn5OJ/3vb1GU1s6Ypi64EunDHZZXWJtmK0tqL9ru/3GxDlwiXIuel7FlVHRDQ83mx+1CUaDjauoRE32D6K1atWIdLWZkFlqWH9+vXo7OxEeXl5n4AYd8kll8DtdqOyshI7d+5M+nFbYw2C8vLyRqxWq50z0408l/kNsKZKINbf9B8f+tEVYq/TkZJMQMxlQCSiNKOrAlk6RxGJhoMhkUbFpDvugOess3oOMCgm7N69GwBw6qmnHvN6Xdcxf/58AMDWrVuTftz4SKLX6z3OClOHQxFYfmKOecEwoMU6nXYEDLy0OzNfPyONAZGI7Crf47C6BKK0xZBIo6b0rrsGDoqrV2dkUPz4448BAOXl5f3epqKiAgCwb9++pB4zGo3aciQRAD45w4MJueYvelUCMtba9I39nWhoi1hZWtpjQCQiu8rWFTg1fswlGi5O1KZRVXrXXaj+3vfQ9sor5oHeaxQbGlC9ejVK77svo9Yo+nw+AIDb7e73Njk55uhZfX19Uo/Z3t6OSCQCVVXxxz/+EQ0NDejs7ITD4UBZWRkWLlw4YCgdTDAYTIxUxsWfx2hTJHDFqbm4/+VGAIAmBQJRA1ED2PBRGy4/xV6heKwYra1ou+NWyJZm8zIYEInIHoQA8j3saEp0PBgSadQxKPbV2dkJILmQ2NHRkdRj+v1+AEA4HMZDDz101PUPPPAAzj//fKxZswYu19AbvmzduhVr164d8v1GykmTXJg3yYX3a7sghQFFCkSiBuo5kjgsDIhEZGd5WRpUbqhLdFwYEmlMlN51F2puvRX+DRvMAxkcFAOBAADA6XT2e5v4deFwOKnHLCkpwT333IP9+/ejtLQUXq8XoVAIDQ0NeOedd/DSSy/hxRdfRHNzM+6///4+gSAZUkqo6tGni2TrGwlXnObFB3XdCEcNaAoQiRqYUsj1JkPFgEhEdqYqArnsaEp03PguojFTcuedtguKW7duTWpKaE5ODs6Krc90Op3o7OxMjCgeS3t7OwAgKyv5TeOXLl2KpUuXHnV8+fLlWLx4MW6//XZs3boVmzdvxqJFi5J+XABYtGgRNm7c2OdYU1MTVqxYMaTHOR4Tc1RcvawQv3vLh9auMBZUZOP8Wf2PxtLRBg2Iyz6J3BtutKg6IqLjl5+tgWOIRMePIZHGlN2C4p/+9Ce8+uqrg95u2rRpiZCYnZ2N5uZmtA3QtCd+3VBC4kA+9alP4ZlnnsGOHTuwZcuWIYfEVHFqmQunlpnTZaMGUOMLIhLlVhjJYEAkIrtzahLZTm55QTQSGBJpzNkpKC5YsCCpLSfGjRuX+HtJSQmqq6sT3UiPJd4kZsKECcdfZMyMGTOwY8cONDc3j9hjWkkKIM+loKlj7Ka8pisGRCKyq47uKA75gyjOc2Bivm51OUS2wZBIlii5887Bm9ncfz+UAZq7pIJLLrlkyPeZPn06Nm/ejL179/Z7m48++ggAMHPmzGHXdqTu7m4A5kimXXicEu1BBYEQG9j0hwGRiOzq3QNteHpzA4LhKLKcCtYsL8f88tT/gpkoHXADGbLMgPsoNjSgetUqRGJr8+xk4cKFAIAtW7YgFAoddX1zczO2b98OAJg/f/6I/MxIJIL33nsPwMgGT6sJIZCfzalF/WFAJCK78nWEEwFRCMCIAk+8XBv/vpmIjhNDIlkqE4PivHnzMHXqVPh8Pjz11FN9rjMMAw8//DDC4TBOPPFEzJo1q8/1zz33HK6++mq8Eh+Bjdm1a1eia+qRwuEwHnnkEdTW1sLtduOcc84Z0edjNacq4HExKB6JAZGI7Ox/3zyEYDgKANBUCSGAls5w4hgRHR9ONyXLld5xB6rWrkX7G2+YB46cerpqVVpMPU2WEALXX389vvOd7+CJJ57A/v37sWjRIoRCIaxfvx5bt26F0+nEdddd1+d+wWAQP/7xjwEAH3zwQZ9uo3/5y1/wyiuvYMGCBaioqEBRURGEEKitrcW6detw8OBBCCGwZs0a5ObmjunzHQv5WQq6QwZC/HAAwAyI7QyIRGRTb+/3Y3et+QWylCKxJ+LMiVnQNY5/EI0EYRgcmKcUEI2i+qab0LZ5c8+xXi9NrajIVkERAF5++WX8+Mc/RkdHR5/jHo8Ht956K5YsWdLneCQSwZlnngnDMOBwOLAh3vgHwNNPP50YgTyW0tJS3HDDDYmpriMhvgWGlBKbNm0asccdrq6QgfrWoNVlWC4eEEU/AVE581PIuX61RdURER2fju4ofvL8frR3RyCEgK4JSCGgSIEfrJyCyeNdVpdIZAsMiZQ6MjAotre347XXXkNtbS0ikQjKy8uxZMmSfpvLbNiwAS+88AIuv/xynHLKKX2u8/v92L59OxoaGuDz+RAKhZCfn4/Zs2dj7ty5kHJkv11NtZAIAIfaw+joztwmNgyIRGR3v3utHtv2+wGY00w1xTzHLf9EIS5fVGxlaUS2wpBIqSUDg2K6SsWQGIkaqG0JZeTeiQyIRGR3u2s78Iv1tQAARYrE1NJxOQ7cc8U0TjUlGkF8N1FqkRKlP/kJPGec0XMsA5rZ0MhQpEB+duYttWZAJCK7C4aj+OPWQwDM85umytjfga99chIDItEI4zuKUk8sKLp7r59jUKQkuXUJlyNzup0yIBJRJvi/bY1obje3jVIVgVivGiyb5cXcEvvs/0uUKhgSKTVJibJ772VQpGEpdCuQvV4vdhX1+RgQicj29jZ04o2PWgEAUojEOsS8LBX/soTrEIlGA0MipS4GRRomVQrkuBRsrezECzvb8GFDt9Uljbioz4eOu27rNyCqZ53LgEhEtvDKBz4YhnmOc/SaVvqlZRORrWfOzBGiscSQSKktmaC4ejWDIh3l128248/vt2Hjxx345ZYWvLq3Y/A7pYlkAqLnulUWVUdENLJCsabVvaeZnjolBwum5VhXFJHNMSRS6osHxdNP7znWOyjW16N69WqEGRQppt4fxj+ru+BQReKl8redftS0hKwtbAQwIBJRplk0PReK7Jlmmu/W8JWzJ1pcFZG9MSRSepASZT/96YBBsYZBkWISO2AYBhyxDxVRQ+B/trUiGE7f7TGiPh86776dAZGIMsr8Cg/WXlyBJTPzcOHJhfjByinIcWVeJ2uiscSQSOmDQZGSNDFXxexiJwBACnOKEgA0toXx/A6/laUNWzwgorkJAAMiEWWOAo+KUyfn4JvnluBfFhcj361ZXRKR7TEkUnphUKQkfWNJAbId5ilOkwIytpBla2UX3q/tsrK0IWNAJKJMle1U4HZy1JBorDEkUvqJB8X+mtnU16PmppsQ7UqvIEAjKz9LwRcXeGOXDJhbJ5pTTZ99z4/WrohVpQ3JYAFROfs8BkQisiVVESj0OKwugygjMSRSehqs62ltLapWr2ZQzHCLpmTjjMnmJssCgKaYp7yukIGn/9nas3YxRSUTEHO+/R2LqiMiGl3jPI5EN1MiGlsMiZS+GBQpCV9emI9CtzlVSZWAEvvEsbcxiBc/SN31iQyIRJTJ8rJVOB38mEpkFb77KL0xKNIgXJrAVYsLEt9G994W49W9ndhZF7CuuH4wIBJRJnNqEnlZbE5DZCWGREp/saDo6a+ZDYNixptRpGPFvDzzQmJbDAOGATz7XmpNO400HUbHHbcyIBJRRlIkMD5X7/1rnIgswJBI9iAlSn/60wGDYs2aNQyKGezik3IwryQLgLktRnx9Ynsgio5g1MrSEiJNh9F51+0Q/hYADIhElFmEMAOiwk+nRJbj25DsY5CgGKipYVDMYALAVYu9GOcxpzCZ6xOBwmwVbt36U2Gk6TA67vw+AyIRZawCtwNOzfrzMRExJJLdMCjSANy6gpvOHYep43QAwPTxOr66KB9Wz2qKB0TZZjbSOSognnUuAyIR2ZrbqcLjUqwug4hihGEYKbQah2iERKOoXrMGbW++2XOs10tdLylB6X33QTidFhRnD01NTVixYgWklNi0aZPV5QyZYZjfH4SjBg62hBCxaGFiUgGR+yASkY05VIGJ+U7Lv7Ajoh4cSSR7SmJEsXr1ahjd3RYUR6kg/nJQpcD4HGu66DEgElEmqvMF8MSGWvzkuQN44d3DyPdoDIhEKYYhkewrFhSzTjut5xiDIh2DUxXIzx7boMiASESZ6JA/iIf/UYNdNR1oaA3itd0t+MtbjVaXRURHYEgke5MSFfffP2BQrGJQJAC5LoksfWzWwzAgElEmau+O4In1tegMRAAAmiqhSIG397VZXBkRHYkhkexvkKAYZFCkmPFuFS7H6AZFBkQiykShiIEnN9SiqS0EAFCkgKaY5758t2plaUR0DAyJlBkYFCkJQgDj3EpiD8WRNmhAPPs8BkQish0DwO9eq0fVYfN3rCIF9NhWFw5V4rKFRRZWR0THwpBImSMWFN0MijQARQoU5aiQI9xFIamAyG0uiMiGnn+nEdurzCmlUgg4VPPjpxDAV8+eiGnFWVaWR0THwJBImUVKlA0WFNesYVDMcJoiUJTj6P3SOC4MiESUqbbsacXGD3wAzF+3ukMmzq2XLSzG4pl5FlZHRP1hSKTMM1hQrK5mUCQ4NYFC9/F3PGVAJKJMtbu2A89uPQTAPO/pmpLY6uLM2V589pRC64ojogExJFJmYlCkJLh1CW/28BsqMCASUaaqbe7Gr1+tQyRqAAAcqkhM4z+xzI2vnD3JwuqIaDAMiZS54kHx1FN7jjEo0hHyXArcThWGARxsDaGhLZLU/QwGRCLKUIYB/O61BgTDUQCApgoosYRYWqDjugtKMUr9wYhohPAtSplNSpT97GcMijQgjy7x5BYf/vOVJty/vhH/tdmHUOzb8WMxA+Jt/QZE9ZPnMyASkW35u8JoaA0AAFRFJjpGe7NV3PjZilHfaoiIjh9DIhGDIg3i5Y/aUdMSgoy9LnYfCuDXb/oQPkZQjAdEtLWal3F0QPRce8OY1E1EZAW3S0W2U4EiBRyqef7TNYnVy8uRPwJrvYlo9DEkEgGAlCi9/3645s3rOcagSDGNbSHAMKBrAjI2ZWrPoSB+t9WH3jmRAZGICFAE8OVlE5CbZa7pdjtVrLqwDBXjXBZXRkTJEoZh9D9niijDGJEIDlx7Lbref7/XwZ63iKO0FOX33QfougXVpZampiasWLECUkps2rTJ6nJG1dbKTjy08bB5QQgEwgaisXR4UokTV5ySBzAgEhEBAFwOBUW5DgTDUTS0BlGc50jsjUhE6YHvWKJehKKg4sEHBxxRrFy9GggELKiOrLKgPAvnzHSbFwwDDqXnZfFeTTeef70K7QyIRERwOiSKcs19ZnVNoqzQyYBIlIb4riU6AoMiHcuVC/Jx9gwzKAoAuiogBOAMdMDzhydxuCMMgAGRiDKXU+sJiESU3hgSiY6BQZGOJAAHFo8AAB18SURBVATwpdPzsaAiy7wMICfUjk++8Vt4u1vQKlxoklkMiESUkRyqQFGenmjwRUTpjSGRqB/xoJjNoEgxUgBXLSnASZNccHa3Y9mm38Db1ZS43ieycFiYIVI9hwGRiDKDpggU5+mQzIdEtsGQSDQAoSgof+CBgYPimjUMihlElQJXz47gM68+jpxOH2AAAtHE9S3ChQMLLoTnGgZEIrK/eEBUmBCJbIUhkWgwqjpwUKyqYlDMIOGGBtTdfBNmtVfCZYQAABICUpjdTrdNXoQ3PnGxlSUSEY0JhypRnKdDVRgQieyGIZEoGQyKBDMgVt14IyKtrRBGFOVGC1zCbFgjDGDn9MX4eP65cDl4aiUie9NVieI8BwMikU3xkwxRsmJBMevEE3uOMShmjN4BMU7CQHm0BS4jiPenLcbek89DjkvBp08qtLBSIqLRpasCxV5OMSWyM4ZEoqFQVVQ8+OCAQbHqxhsZFG3mWAEx/v8ujSjmXbAIF33/6/jaJyfhp1+cgQXTc6Hx23UisoFI1ECdL4jWTnPWhNMhUexlkxoiuxOGYRhWF0GUdsJhHLj2WnRu395zrNdbSS8vR9m99wK6bkFxY6OpqQkrVqyAlBKbNm2yupxRM1BABADv8uWYcMstR90vEjVQ3xJAMMxTLBGlp0P+IH65oQ6N/gAEgAs/UYivnDWJ+yASZQCOJBINxyAjioHKSo4o2sBwAyIAKFJggtcJXeWnKSJKP5WNXXjo79Vo9Ju/x6QisGGnDzXN3RZXRkRjgSGRaLjiQfGEE3qOHREUq2+5BUYoZEFxdLwGDIhCoODSS/sNiHFSAMVeJ5waT7VElD62V7Xj0Zdq0N4dAWB+6aWr5nmszhe0sjQiGiP85EJ0PFQVFQ891G9Q7N67FzVr1zIopplBA+LnPoeiVauSeiwpgKI8BzueElFaeGWXD7/eeDAxVV5VBPTYF10OVWBascvK8ohojPBTC9HxYlC0lZEMiHFSmJtN57jUEayUiGjkRA3gj1sb8PzbjYivpHZoEo7YCKIqBa4+txT5bs26IolozDAkEo0EBkVbGI2A2FuBR0OBhx+wiCi1BMNR/HJDLd740Dz3CWGOHqqxFqYuh8SNny3HaVNzrCyTiMYQQyLRSGFQTGvhhgZUDxAQ8y+99LgCYlyOS0VRrgNsZ0NEqcDfFcZD62qwq7YDACClGRDjeyDmuzXceslkzC11W1kmEY0xhkSikZREUKxmUEw58YAYHiAgFn/nOyP287J0BRPyndyImogs1dYVxs//VoWaJrNjqRSArsrEHoiTx7vww8umonwc1yESZRqGRKKRFguK2f1tj8GgmFLGOiDG6arABK8DUgr87d3D+NkLVfjVxjrU+bhtChGNjY27WuDrCAPoGUGMn/4+MTkHt14yGXlZXEtNlIkYEolGg6qi/MEHGRRTnFUBMU5TJN74qAXrd/pQ09SN7VVt+PmL1Xj3QPuo/Uwiojh/lxkQVUXCqUmI2Pnv3BPzccOFZYmupkSUefjuJxotDIopzeqAGPfWx344NQlVMU/HwXAUv910EH95uxGRqDHIvYmIhm9+uQeaKuBQzXOfAPCvS4rx5TMngrPhiTIbQyLRaEoiKLKZzdhLlYAIAF63OZXLoQo4en2T/+ouHx57qQZtsW/6iYhGkiIFzjkhH9eeX4oZE7IwtyQbN66owKfnF1pdGhGlAGEYBr+qJhpt4TAOXHMNOnfs6DnW663nnDoVJT/5CYSaPms/mpqasGLFCkgpsWnTJqvLSdpgAbFg5UoU3XDDmNWzt6ETP/rzAQRCUQDmXmXBUBTR2OsjL1vDlUuLUcHGEUQ0QnRVYnyeI7HFBRHRkTiSSDQWktke46abYIQ5ajSaUi0gAsDUoizccdlUTMrXAcS6C2oSMvbhraUjhIfX1WD9Tt+Y1kVE9uRxqZjg1RkQiWhADIlEY4VB0VKpGBDjJnp13H7pFHxick6iLKcmoanmKToSNfDXbY34/ev1CEU4+YOIhk4IYFyOA4UerfevHiKiY2JIJBpLDIqWSOWAGJelK/jOhWVYeXoR4q8ITenbkv7tfX48+PdqBkUiGhJVCkzw6nA7FatLIaI0wZBINNbiQXHu3J5jDIqjJh0CYpwQwMWnjcOaz5YjWzc/zCmxvctkrOaapm5sO+C3skwiSiMuh4JJBU7oKj/yEVHyeMYgsoKqouLhhwcMitUMisctXFeXNgGxt5PKPbjjsqkojzWrkULA6ejZJqOjO2JleUSUBoQA8rJVFOc5uJ0FEQ0ZQyKRVQYJigEGxeMSrqtD9dq1aRcQ48bnOnD7pZOxeGZe4phDFXA7FZxckWNhZUSU6jRFYEKeDm+2ZnUpRJSmuAUGkdXCYRz41rfQuXNnz7Feb0t96lSUpuD2GKm8BcagAfHzn0fR9ddbU9wwbNnTilc+8MGpSXzmE4WYMt6FRn8IXUGOKBJlstbOMF7a0YTD/jCmT3DhzNle5GZpKPCoiSnqRETDwZBIlArCYez75jfRvWtXz7EUD4qpGhLtFhAH4u8Ko7k9BJ7FiTLPe5Vt+N83D6EzYH5ZJARw0anj8KVlEy2ujIjsgNNNiVKBqmLKo4/COXt2z7Ejp57efDOnng4ikwIiAOS4VEz06nCoHDEgyhRtXWH8dlMdfvNqXSIgSing1BS8tZdNrYhoZDAkEqWKwYLinj0MigPItIAY51AlJnqdyHGlzigzEY08wwC27m3Fvf9XhXcPtAEAhBDQVAlnbKsct5PnASIaGQyJRKlEVTH5kUfgnDGj5xiD4qAyNSDGCQEUeDQU5+lQFY4qEtlNU3sIj71Ug6ffaEBHt3n+N7fHEdBi73lFCqxcWGRlmURkIwyJRClGaBomP/44g2KSMj0g9uZySJQUOJGbxdEEIjuIRA1s2t2Cnz5fiT31nQB6Rg97759a6HHglosrcMpkj5XlEpGNMCQSpSAGxeQEq6tRuWZNvwExf+XKjAmIcQJAvlvDBK8OBzfPJkpbrZ1h/PzFavz5rUMIhqMAYmsPHTIxeigEcNYcL+6+YipmTcy2slwishl+giBKUfGg6Jo+vddBBsW4YHU1qm++GdH29p6DRwTE4hTeB3G0OTWJiV4d+W4NQgB1vgB+/3o9ntxQi3f2+9kRlSjFPfNmA2qaugGYpzaHFlt7GLu+KNeB7148GV/75CS4HIp1hRKRLTEkEqUwoWmo+MUvBgyKNRkYFBkQkyMEkJulwu1U8ehLtXh7nx8f1HTgv1+rxwN/r0bV4W6rSySifuxv6AIAKIrZuVSVPWsPl3+iEHdfMR2zJ3H0kIhGB0MiUYobLCh2Z1hQZEAcuu1V7YgaBhyahIj9W1U2duHnL1bh96/Xo7UzM147ROmkpMAJXZPQVZk4xU0e78IPPz8Fly8q5tY3RDSqGBKJ0gCDookBcXjcTnMqmioFnJqEEhuRMAzg7X1+3POXA3hpRzNCkaiVZRIRzFNaXraK6z5dikn5TgBmU6orFhfjByunoHycy+IKiSgTCMPgyhSidGGEQjjw9a+ja8+eXgd73sLO6dNRcs89EOrod7dsamrCihUrIKXEpk2bRv3nMSAOXzhq4K5n9ye6IwJA1ABC4Sgi0Z7XjzdbxYpTxmNeuduKMokynsshUeDRoCnmd/gGgKa2IHJcKhtREdGY4hmHKI0ITUP5Y48NOKJox2Y2gwXEgssuY0AcgCoFbrm4Ap9bMD7xQVMKQNckHGpPG31fRxi/fvUgHl5XjTpf0MqSiTKKrkkU5zlQnKcnAiJgdisu9DgYEIlozPGsQ5RmpK6j/LHH4Jw2refgMbqewiZBMZmAWHTdddYUl0YcqsTnFozHT784HYtm5CX+CVUl1lJf7VmvuLehC//5t0rsO9RlYcVE9qdIgQKPholenR1KiSilMCQSpSGp66h4/PEBg2KVDYJisKqKAXGE5bs1fOu8Etx26RRMGd+ztklT+q5XDEUMbPyg2aoyiWxNCCDHpaKkwIkc1+gvDyAiGiqGRKI0ZfegGKyqQvUttzAgjpLpxVn4f5dNxVWfKkFelvkhVcSmoOqxsBiOWFwkkQ1l6Qom5TtR4NEg2aCUiFIUQyJRGrNrUGRAHBsCwNJZebjvyhn47CmFiXVPijSnoK44ZTx0roUiGpJD/iCefqMB979Qif/deghdQbNrsNMhMTFfR1GuA5rCdEhEqY3dTYlsIBoIYP/Xv47A3r09B3u9tV1z5mDSnXdCKCO35mW0upsyIFqn0R/Eyzt88HeFsXhmHuaWmBt1dwYiaOkMIxDiFhlE/WlqD2Hde03Ytt+PXk2DcUKpG7dcXME1h0SUVhgSiWxirIPiaIREBsTU1tEdga8jhFCEvzaI4up8AbzyQQv+ecDfZ0sZRQqoioAiBZ68ag50jaPyRJQ+eMYisgmp65j8i19Anzq152CvqaddH3yA2ltvhRFJzYVmDIipL9upoKTAifE5nC5HtKe+E4+/XIv7/lqJt/e1JgKiIkWftb3ZugKN07aJKM3wrEVkI0kFxe9/P+WCIgNiesl2mo03Cj2OPnu6EdldJGrgrX2tuO+vlXj0HzX48GBHYsLGkeEwfuxflxSzQQ0RpR3+dieymUGD4s6dKRUUGRDTkxCAx6WgpMBsxOE8YipdIBzF+5Xt+PBgJyJcykg2EIoYeOylWvzP6w042BxIHJcSR4VDIYBTp+Tgzi9Mw7LZXqtKJiIaNm7OQ2RD8aDYZ42iEIk1ivGgOOmOO0a0mc1QDRYQC7/wBYz/9retKY6SlqUryNIVBMJR+DsjqGnqxgN/r0ZLRwgAkJetYfHMXCyclossnc07KD29s8+PvQ2dAAAhBKQANFVAir7DhPMrPLh0wXhM7rUPKRFRuuFIIpFNxYOiK0VHFBkQ7UdXJcblaPhnZRvauyMQsf/Plo4Q/rrtMO54dj9+91o99jZ0gi3TKN20dYchBKAqAs7YyGE8ICoSWDwzD3d9YSrWLC9nQCSitMeQSGRjUtdRnoJBkQHR3tq6wnCo5gdpTZWQsSl4wXAU2/b78fC6Gvz4uUqs3+lDW1d67eFJmUlTBJbOyofbqcChysTpyuWQ+MzJhfjZl2bi6nNLUD6O4ZCI7IFbYBBlgGgggMqvfx1d/W2PMXfukKeeDncLDAZE+3vz41Y88GJ1n2PhqIFIxOizRQBgjsDMKXFj8cw8TC/OGssyiQYkBOByKMhxKYk9Dt+vbMNf321CMBTFadNycPYcL/c/JCJbYkgkyhAjHRSHExIDBw6g5nvfY0DMAJt2t+CZLQ1obg/1OR41DIRjYfHI3z7nnliAC+YXjGGVREfTFAGPS4XbqSQa0RARZRpONyXKEPGpp84pU3oOjuHUUwbEzLJ0Vh5+9qWZ+NZ5JZgxoWeEUAoBhyrhcihmN8he+y1u2NmMQJitUGnsCWFu7TIhT0dJgRO5WSoDIhFlNI4kEmWYaCCAA1/7Grr37es5OIwRxaGMJA4WEAsuvxxF11475OdC6aPWF8ArO33YtNuH9u6+X0QYRs901NsunQyPi423aWTU+QJ4t7INNc0B5GWrOO/EAuRm9by+OGpIRHRsDIlEGWgkgmKyIZEBkXoLRQy8s8+P9Tubsau2o8+U03llbnz7glK0d0fQGYggyt9ONAyH/EG8W9mGd/e1ocEf7HPd+Fwda1eUIzdLRbZTga5yQhUR0bEwJBJlqOMNismERAZEGkhDaxCbdrfgwKEulBbquOjU8XBqPR/au4NRtCUCI39V0bFFogYONHZj98EO7KptR50veNRtpDT3M1QVgdsunYxZE7MtqJSIKH1wTg9RhpK6joonnugbFIVIBMWunTtRe9ttmPTDHw6p62kcAyINpijXgZWnj+/3eqdDwumQMAwNXcEIOgJRBkZK2F3bgS0f+7GnrhPdoaPXUguBRDDsPZU0W2c3UiKiwTAkEmUwqeuoePxxHPjGN44dFHfsGFZQZECkkSQEkKUryNIVGIaGzkAEHcEIuo6Ykrr/UDf+uLUeTW1hlBTomDUxG7MmZmGi19m7RxPZwDv7/fjv1+qPOh4fMVQkjrnGcPHMPJQWOMeiRCKitMbppkSEaFcX9n/jGwj0N/X0hBOOCor9TTdlQKSxFAibo4stHWF8/w970Rk4ekTJ41IwrTgLFeNcmDIuC8VeB9ijJL3959+qUHW4G4AZBqU0RwuP9f+qaxInV3iwaEYuTq7I4RcGRERJ4EgiEUG6XJj8+ON9g+IwRhQHDYhXXIGia64ZradBGUhXJXRVoqE1CMMAHKpEJGogavTsw9jWFcE/97fhn/vbEvcpH+dCxTgn5pV5MMHrsPAZ0FApUsClK3CoEooUxwx9DlVgfkUOFk7LwfwKDxxsUENENCQ8axLZUFNTE/793/8dp512Gh588MGk7hMPinp/+yjGgmJ/+ygyIJKVivN0qIq5/kzXzH0YnQ4FWiJI9LyWA+EoPqrrwLr3m3Df/x3Alj2tFlZOg5FCwKlJ5Ls1TMrXUVboxMrTi+BQ+wbEfLeGs+d6ccOFZXjkq7Nx3QWlWDAtlwGRiGgYOJJIZDM7duzAtddei4MHDwIAAoFA0vcdyohibwyIZLW8LBVfWjYBv321DuHYQkUpAKkIQDFfi1EDiESjiBpANGqONBoA/vZuIxZOz7Wwevtq6QijzhdAXWsAB30B+DvDKClw4vyTCvrdfkKRAg5VwOVQoGvmSPGRo4WnTPbg9pVTsW2/H26nghNKPSgt0MfgGRERZQaGRCIbeeqpp3D33XfDMAzMnDkTH3744ZAfI9mg6Lz+egDARClR893vItrR0fMgvQLi+H/7NxR+7WvDej6//OUv8fDDDw96O4/HA4/Hgzlz5mDhwoW44IIL4HSyOUWmOeeEfJw2NQfvVbbjvco27KhuR3t3z8i3GRp7gknUMBA1gHAU0FSJUDhqRdlpzwDQ2hFGU3sIjf4QDrZ0o94XwEFfEF3Bo2ce7G3owuG2EL5y1kQAgKZI6JqEUzNHgZMd+Zta5MLUItdIPhUiIophSCSygUgkgrVr1+K5555DdnY2fv7zn2P9+vXDColALCg++ij2ffWrCFZXmwePCIrBe+9FiZS4XlVHJSACQF1dHd55552kb//8888DALxeL26++WasWrUKqsrTXCbJcalYOisPS2flIWoA+xo6sftgJz6q68Ce+k60dfUOjWajkzNne1GSryMcMRAMRxEIRxEMGwiFowhFkuvttqu2A29+7Ec4EoXXrSLf7UBBtop8t4Z8twNZuj2nPL6z34/n3mlEe9exp6H3JoSAgAEhBPbUdyI3S0VetsYmQkREKYifnohsQFEU6LqOsrIyPPLII5g+fTpefPHF43pMmZ2NKU8+2W9QDO3eje/qet8963oFxHFf/vJxBcTj4fP5sHbtWmzcuBF/+tOf4HCwMUkmkgKYVpyFacVZAAphGEBdSwAf1XViT10nmtpDmDEhC589ZRwAxNY0mlttxBkGEIqYoTEYjsb+GIj02ntjT30nntxQi4F6hTs1BblZCrKdCrIcEp4sDfNK3ZgxIWu0nv6oa2oP4ek3Gvr8W8QJYYZCKQSk7AnkcbomkZOlMiASEaUohkQim7jtttvQ3d2N3FxzbVWknwYzQzFgUAyFoAFITNAbwRHE/jzzzDOYPHlyn2ORSAQNDQ2oqqrCxo0b8eyzzyae+wsvvIDbb78dd99994jXQulHCGCiV8dEr46z5niTvo9DlXCoANATHsMRA6FIFOEI8Oe3DkFKARjo01W1t+5QBN2tEaBXj5zNH7bg8sVFOG3K8a2HrGnqxiu7fPB3hhEImz88GDIQMaKIRo3EsXAs7EoBlBa6cPmiIozPGf4XKAeb+25BIQQgYAbCgbaZEAK4bGERVCZEIqKUxZBIZBO6rkPXR75xg8zOxpRf/MJco1hVBQAwgsHEiKIUAkYkAqGqoxoQAWDOnDmYM2dOv9dfc801eOONN/DpT38afr8fAPAf//EfuPHGG5Gfnz8qNVFmio86AsC4HEefJiyGYcCA+RaJh0YDAAzE/t4TJF/b3XpcIbGpLYSH1tUgOIT1lFEDqGzswm9ePYjVn6k4KtAJgdiG9LG9B6W5blCV8ectoUoBhyrxzJZDGGxCriLNcF5a4EJZoRPzytwoK+SaYSKiVMaQSESDqmpqwvqFC3HioUNw+f0Q4XDiOgMwQ6KmjWpATNaiRYtw880347vf/S4AoLu7G+vWrcPll19uaV1kXxfML8CWPa1o6TTfF+baOwACUND/aJlhAB6XigleHdGoEeu+asT2eTRvE5/OHQ+cAGBEDfPBBbCzphPhiAEZS3q9A188vPU+FqsMQgCH20LIdkrkuDQIgVgoROKxBjMpX8cXl07A05vrEyOU+W4HJnodKCt0orTA/DMxX+eoIRFRmmFIJKJB7d27F/c+9BCyANztdGLCMT5EjkuBgBi3fPnyREgEgF27dllYDdldoceBe/5lOt7a60d9SwCNbSE0+oNo9Af7dFc9kpTA8pML4dSG39SmtMABp2N49/dmaxifqw8QYwd3/kkFOHtuPtq7w8jN0qDYsz8PEVHGYUgkokFNmjQJn//85wEAW4NBfHrjRjhDIUSjURiGAe8ll2BcigREABg/fnyfyy0tLRZVQpnC7VRw9tyj1zl2BSM43GZuDdHWHUZbVxjt3eb7Zn6FB7MnZR/Xz100Mw//2N6M6qbuIdf7zU+VHFdAjHOoAvlubQQeiYiIUgVDIlGKufnmm1FfXz/o7c444wxcddVVY1ARMGvWLNx1112Jy9FgEAfuuQev/uEP2BiN4r++970xqSNZDQ0NfS6XlpZaVAllOpdDQWmBgtKC0VmD59QkfrByCt7e54evIwynJqHEmshkOcw1k5oqEnsPZjnM64vzdDhUTgElIqJjY0gkSjHbtm3DgQMHBr1dQUHB6BfTD+lwwHP11fjRU09BytSbX/aHP/yhz+XTTz/dokqIRp+uSSyemWd1GUREZCMMiUQp5qGHHkIgEBj0dnl5/FB4LC+99BLuu+++xOVly5Zh6dKlFlZERERElF4YEolSzPTp060uIe20tLRgx44d+O1vf4snn3wysU9iWVkZfvWrX1lbHBEREVGaYUgkorQxd+7cpG973nnn4bHHHkNFRcXoFURERERkQ6m3mIiI6DiVl5fjmmuuQXl5udWlEBEREaUdhkQiShs5OTnwer1H/TlyfWZlZSUuuuginHPOOWhsbLSoWiIiIqL0xJBIZFMulwu5ubnQdd3qUkbM5s2b0dzcfNQfn8+HQCCA119/HVdeeWXi9hs2bMAFF1yArq4uC6smIiIiSi8MiUQ2dfvtt+Ott97Ctddea3UpY8LhcGDRokX4zW9+gwcffDBxfNu2bfjRj35kYWVERERE6YUhkYhs55prrsFpp52WuPzwww8jFApZWBERERFR+mBIJCJbuuiiixJ/b25uxnvvvWdhNURERETpgyGRiGzpyM6mNTU1FlVCRERElF4YEonIloLBYJ/LTqfTokqIiIiI0gtDIhHZ0vbt2/tcLi4utqgSIiIiovTCkEhEttPS0oKnnnoqcbmgoAAnnniihRURERERpQ+GRCKyldbWVqxcuRKHDx9OHPviF78IRVEsrIqIiIgofahWF0BElKyamppjri2MRCKoq6vDxo0b8eijj+LgwYOJ64qLi3HrrbeOZZlEREREaY0hkYjSxvnnnz+k2xcUFOCFF15AYWHhKFVEREREZD+cbkpEtiOlxOc+9zm8//77OPnkk60uh4iIiCitcCSRiFKW1+vFlClTBr2d0+mE1+tFWVkZTj/9dKxYsQKTJ08egwqJiIiI7EcYhmFYXQQRpZ/GxkYsXrwYUkrs3r3b6nKIiIiIaIRwuikRERERERElMCQSERERERFRAkMiERERERERJTAkEhERERERUQJDIhERERERESUwJBIREREREVECQyIRERERERElMCQSERERERFRAkMiERERERERJTAkEhERERERUYJqdQFElJ6klMjPz4eiKFaXQkREREQjSBiGYVhdBBEREREREaUGTjclIiIiIiKihP8PwB4W9ucSpm8AAAAASUVORK5CYII=

Coder avec une expression de comparaison, l’appartenance d’un point \(P\) quelconque coordonnées \(P(x_p, y_p)\)

  • au domaine Dom1

  • au dommaine Dom2

  • au domaine Dom1 mais pas au domaine Dom2 : Dom1 - Dom2

  • au domaine Dom1 et Dom2 mais sans appartenir aux deux : (Dom1 ∪ Dom2) - (Dom1 ∩ Dom2)

# Différents points à tester
x_p, y_p = 0.9, 0.9  # dans D1 et pas dans D2
# x_p, y_p = 0.4, -0.3  # dans D1 et dans D2
# x_p, y_p = -0.6, -0.6  # ni dans D1 ni dans D2
# x_p, y_p = 0.1, 0.6  # dans D2 et pas dans D1
# x_p, y_p = 0, 0  # dans D2 et pas dans D1

# Insérez votre code ici

5.14 🟥🟥 Expressions conditionelles#

Les expressions conditionnelles (parfois appelées opérateur ternaire) sont les moins prioritaires de toutes les opérations Python. Elle renvoie un objet Python qui dépend d’une condition.

Syntaxe : expression_si_vrai if condition else expression_si_faux
expression_si_vrai Sémentique : l’expression conditionnelle commence par évaluer la condition (dans un contexte booléen). Si condition est vrai, alors expression_si_vrai est évaluée et sa valeur est renvoyée, sinon, expression_si_faux est évaluée et sa valeur est renvoyée.

Exemple :

age = 23
"Mineur" if age < 18 else "Majeur" # donne 'Majeur'
age = 11
"Mineur" if age < 18 else "Majeur" # donne 'Mineur'

Les expressions expression_si_vrai et expression_si_faux peuvent elles-mêmes être des expessions conditionnelles (ne pas en abuser pour garder de la lisibilité au code), exemple d’une expression conditionnelle qui renvoie la catégorie à laquelle appartient un individu dans les sports de voiles selon son age:

age = 66
"jeune" if age <= 25 else "senior" if age <= 65 else "vétéran"  # donne 'vétéran'

5.15 🟥🟥 ⚙️ Exercice - Expressions conditionnelles#

Soit deux matrices : \(I_4\), la matrice identité 4x4 et \(T_{4,sup}\), une matrice triangulaire supérieure. On note \(e_{lig, col}\) l’élément d’une matrice à l’intersection de sa ligne lig et de sa colonne col.

\[\begin{split} \begin{array}{cc} I_4 = \left ( \begin{array}{ccc} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ \end{array} \right ) & \quad T_{4,sup} = \left ( \begin{array}{ccc} 1 & 1 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 1 \\ \end{array} \right ) \end{array} \end{split}\]

Pour chacune des matrices, coder par une expression conditionnelle, une expression qui le tourne la valeur de l’élément de la matrice en fonction de sa position lig, col. Les premières colonnes et les premières lignes sont numérotées par 1.

lig, col = 1, 1  # <== à modifier pour tester d'autres valeurs
# Insérez votre code ici

5.16 🟨 Élargissement du type numérique dans une expression#

Le langage Python gère pleinement l’arithmétique de types numériques mixtes. Cela signifie qu’une expression comme obj_num_1 + obj_num_2 est évaluée sans problème quelque soit le type numérique de base des deux objets obj_num_1 et obj_num_2.

Lorsqu’un opérateur arithmétique binaire possède des opérandes de types numériques différents, l’opérande de type le plus « étroit » est élargi à celui de l’autre. Dans ce système, l’entier est plus « étroit » que le flottant, qui est plus « étroit » que le complexe.

Exemples :

n = 123  # un entiers 
f = 1.23  # un flottant 
fp = 1.23  # un flottant positif
fn = -1.23  # un flottant négatif
c = 1 + 2j  # un complexe

n + f  # n est "élargi" en flottant, puis addition de deux flottants
n * c  # n est "élargi" en complexe, puis addition de deux complexes
n ** f  #n est "élargi" en flottant, puis addition de deux flottants
fp ** f  # aucun élargissement, exponentiation de deux flottants
fn ** f  # fn et f sont "élargis" en complexes, puis exponentiation de deux complexes

Si un nombre booléen apparait dans une expression arithmétique, il est remplacer par un entier

  • 1 pour le booléen True et

  • 0 pour le booléen False.

Exemples :

2 + True  # True est remplacé par 1 et la somme donne l'entier 3
5 * False  # False est remplacé par 0 et le produit donne l'entier 0
3 / True  # True est remplacé par 1, les deux entier sont élargie en flottant,
          # puis la division (non entière) donne le flottant 3.0

5.17 🟨 ⚙️ Exercice - Élargissement du type numérique dans une expression#

Pour mettre en évidence les avantages de l’élargissement automatique des types numériques, nous allons calculer les solutions de l’équation du 2d degré suivante :

\[a.x^2 + b.x + c = 0\]

Les deux solutions de cette équation sont :

\[x_1 = \frac{-b+\sqrt{b^2-4ac}}{2a} \;\; \text{et} \;\; x_2 = \frac{-b-\sqrt{b^2-4ac}}{2a}\]

Calculer \(x_1\) et \(x_2\) pour les valeurs de a, b et c du tableau ci-dessous dans la cellule de code suivante, et compléter le tableau de résultat dans la cellule qui suit le code. Dans la colonne “commentaires” indiquer quels types d’élargissements ont été faits.

a

b

c

Équation 1

1

-3

2

Équation 2

1

2

1

Équation 3

1

2

2

# Modifier et compléter le code ci-dessous

# Données d'entrée a, b, c
a = 1  # <--- Modifier la valeur de a
b = 1  # <--- Modifier la valeur de b
c = 1  # <--- Modifier la valeur de c

# Calcul des racines de l'équation ax^2 + bx + c = 0
x_1 = 1  # <--- Modifier la valeur de x_1 avec une expression correcte
x_2 = 1  # <--- Modifier la valeur de x_2 avec une expression correcte

# Affichage des solutions calculées
print("x1 =", x_1)
print("x2 =", x_2)
x1 = 1
x2 = 1

Compilation des résultats

a

b

c

x_1

x_1

Commentaires

Équation 1

1

-3

2

Équation 2

1

2

1

Équation 3

1

2

2

5.18 🟥🟥 Précision avec le type numérique entier#

Les nombres entiers n’ont pas de limite théorique ; le nombre de chiffres d’un entier est aussi grand que le permet la mémoire disponible pour l’interpréteur Python. Cela permet de faire des calculs exacts (pas d’arrondi, pas de saturation) tant qu’on utilise des opérateurs qui préservent le type des nombres entiers, c’est-à-dire pas d’élargissement au type flotant ou au type complex des opérandes.

Les opérateurs qui préservent le type des nombres entiers sont listés dans le tableau ci-dessous

\(+ / -\)

\(\times / \div\)

logique

décalage

x + y

x * y

x | y

x >> y

x - y

x // y

x ^ y

x << y

-x

x % y

x & y

+x

~x

L’opérateur exponentiation x ** y (équivalent à pow(x, y)) préserve le type entier seulement si y est un entier positif.

Remarque : La division “classique” x / y ne préserve pas le type entier et élargit les opérandes au type flottant.

5.19 🟥🟥 ⚙️ Exercice - Précision avec le type numérique entier#

Calculer et afficher somme, la somme du nombre d’Avogadro dont la valeur exacte est \(6.022 140 76 \times 10^{23}\) et d’un googol (un 1 suivi de 100 zéros), puis calculer et afficher la valeur exacte du quotient q et du reste r de la division d’un googol par le nombre d’Avogadro

\[ 1 \, \text{googol} = q \times N_a + r\]

Le calcul et l’affichage devront préserver la valeur exacte du résultat, c’est-à-dire sans d’écart entre la valeur attendue et la valeur stockée/manipulée par l’interpréteur Python.

# Insérez votre code ici
# Test du code précédent
assert type(somme) is int, "Le type de s1 est incorrect pour une valeur exacte"
assert somme == 10000000000000000000000000000000000000000000000000000000000000000000000000000602214076000000000000000, "La valeur de s1 est incorrecte"
assert type(q) is int, "Le type de q est incorrect pour une valeur exacte"
assert q == 16605390671738466637900373487782773114722080989684472270621585404456736743562, "La valeur de q est incorrecte"
assert type(r) is int, "Le type de r est incorrect pour une valeur exacte"
assert r == 561221288000000000000000, "La valeur de r est incorrecte pour une valeur exacte"

5.20 🟥🟥 Précision de la représentation en numérique flottant#

Les nombres à virgule flottante s’expriment sous la forme suivante :

\[\text{signe} \times \text{mantisse} \times \text{base}^{\text{exposant}}\]

  • \(\text{signe}\) vaut \(1\) ou \(-1\),

  • \(\text{mantisse}\) est un entier positif,

  • \(\text{base}\) est un entier positif fixé à l’avance (généralement base 2 en informatique) et

  • \(\text{exposant}\) un entier relatif

Exemple : \(1234.56\) peut se représenter sous la forme \(+1 \times 1.23456 \times 10^3\) en base 10.

Dans un objet de type numérique à virgule flottante (float), Python mémorise le signe, la mantisse et l’exposant avec deux limites :

  • un nombre limité de chiffres utilisables dans la mantisse (limite du nombre de chiffres significatifs du flottant)

  • un nombre limité de chiffres utilisables dans l’exposant (limite supérieure et inférieure de la valeur absolue du flottant)

Pour simplifier illustration de ces limites sur trois exemples, on choisi de représenter les flottants (mantisse et exposant) en base 10 et de limiter le nombre de chiffres de la mantisse à 7 et que celui de l’exposant à 2, alors

  • \(1234.56\) sera représenté de manière exacte par le flottant \(+1 \times 1.23456 \times 10^3\).
    Ici, il n’y a pas d’écart entre la valeur souhaitée et la valeur stockée dans un type flottant.

  • \(1234567890000.0\) sera représenté de manière approchée par le flottant \(+1 \times 1.234567 \times 10^{12}\) (par manque de chiffres significatifs dans la mantisse, les 8e et 9e chiffres significatifs sont ignorés). L’écart absolu entre la valeur souhaitée et la valeur stockée est \(1234567890000.0 - 1.234567 \times 10^{12} = 7890000.0\), soit un écart relatif de \(6.4 \times 10^{-5} \;\%\).
    Ici, il y a un écart entre la valeur souhaitée et la valeur stockée dans un type flottant par manque de chiffres significatifs dans la mantisse.

  • \(1.23 \times 10^{321}\) ne pourra pas être représenté par un flottant, même avec une valeur approchante (trop de chiffres dans l’exposant). Un flottant avec une mantisse de 7 chiffres et un exposant de 2 chiffres doit être compris entre \(0.000001 \times 10^{-99}\) et \(9.999999 \times 10^{99}\). Python dispose de deux flottants supplémentaires inf ou -inf qui représenter les nombres dont d’exposant est au-delà de sa limite. Ces flottants peuvent s’obtenir par le constructeur d’instances float() par float("inf") et float("-inf").
    Ici, il y a un écart entre la valeur souhaitée et la valeur stockée dans un type flottant par manque de chiffres significatifs dans l’exposant

En résumé :

nombre à représenter

représentation en nombre à virgule flottante

\(n \in \mathbb{Z}\)

- exacte si le nombre de chiffres de la mantisse est suffisant
- approchée si le nombre de chiffres de la mantisse est insuffisant
- approchée à inf ou -inf si le nombre de chiffres de l’exposant est insuffisant

\(q \in \mathbb{Q}-\mathbb{Z}\)

- exacte si le nombre de chiffres de la mantisse et de l’exposant sont suffisants
- approchée si le nombre de chiffres de la mantisse est insuffisant
- approchée à inf ou -inf si l’exposant est positif et que son nombre de chiffres est insuffisant
- approchée à 0.0 si l’exposant est négatif et que son nombre de chiffres est insuffisant

\(x \in \mathbb{R}-\mathbb{Q}\)

- toujours approchée car les nombres irrationnels n’admettent pas une représentation finie en nombre flottant

Remarque :

Python utilise la base 2 pour représenter les flottants (mantisse et exposant). Malgré les apparences, un nombre comme \(0.1\) (un dixième en base 10) n’est pas un “nombre rond” en base 2

base

flottant \(0.1_{10}\)

10

\(+1 \times 1.0_{(10)} \times 10_{(10)}^{-1_{(10)}}\)
signe : \(+1\)
mantisse : \(1.0_{(10)}\)
exposant : \(-1_{(10)}\)

2

\(+1 \times 1.1001100110011001100110011001100110011001100110011010_{(2)} \times 10_{(2)}^{-100_{(2)}}\)
signe : +1
mantisse : \(1.1001100110011001100110011001100110011001100110011010_{(2)}\)
exposant : \(+100_{(2)}\)

La méthode as_integer_ratio() appliquée à un nombre flottant permet de mettre en évidence l’erreur d’approximation due à la représentation avec mantisse en base 2. Elle renvoie la valeur interne du flottant auquel elle est appliquée, sous la forme du couple (numérateur, dénominateur), elle permet de voir l’écart entre la valeur attendue et la valeur réellement stockée dans l’objet.

(1/4).as_integer_ratio()  # renvoie (1, 4) => pas d'erreur d'arrondi
(0.1).as_integer_ratio()  # renvoie (3602879701896397, 36028797018963968) 
                          # => écart d'arrondi, en effet 0.1 ne s'exprime
                          #    pas avec une mantisse finie en base 2
(1/3).as_integer_ratio()  # renvoie (6004799503160661, 18014398509481984) 
                          # => écart d'arrondi, en effet un tier ne s'exprime
                          #    pas avec une mantisse finie en base 2

5.21 🟥🟥 ⚙️ Exercice - Précision de la représentation en numérique flottant#

On s’intéresse à l’écart éventuel entre un nombre et sa représentation en nombre flottant informatique avec Python, et l’effet de cet écart sur le résultat d’une expression arithmétique simple.

Soit deux nombres \(\alpha\) et \(\beta\) choisis de façon à ce que l’expression \(10 \alpha - \beta\), donne zéro. Par exemple \(\alpha = 1\) et \(\beta = 10\) donne expr \(= 10 \times 1 - 10 = 0\)

Dans le code Python ci-après

  1. on construit un flottant de valeur \(\alpha\) et on l’assigne au nom a

  2. on construit un flottant de valeur \(\beta\) et on l’assigne au nom b

  3. on évalue l’expression a + a + a + a + a + a + a + a + a + a - b et on l’assigne au nom expr

  4. les valeurs stockée de a, b et expr sont affichées sous la forme d’un ratio numérateur/dénominateur

a = float(1)  # assignation à modifier
b = float(10)  # assignation à modifier

expr = a + a + a + a + a + a + a + a + a + a - b

# Affiche le représentation sous forme de ratio de a, b et expression
print("(a numérateur, a dénominateur) =", a.as_integer_ratio())
print("(b numérateur, b dénominateur) =", b.as_integer_ratio())
print("(expr numérateur, expr dénominateur) =", expr.as_integer_ratio())
print("expression =", expr)
(a numérateur, a dénominateur) = (1, 1)
(b numérateur, b dénominateur) = (10, 1)
(expr numérateur, expr dénominateur) = (0, 1)
expression = 0.0

En modifiant les assignations de a et b dans le code précédant et selon le tableau ci-dessous, évaluer si l’objet assigné à a représente exactement la valeur souhaitée pour \(\alpha\), si l’objet assigné à b représente exactement la valeur souhaitée pour \(\beta\) et si l’objet assigné à expr est exactement 0.

α

β

a = α ?

b= β ?

expr = 0 ?

Commentaires

1

10

0.1

1.0

6.02214076 x 10²³

6.02214076 x 10²⁴

10¹⁰⁰

10¹⁰¹

5.22 🟥🟥 ⚙️ Exercice - Précision des calculs arithmétiques avec des flottants#

Pour explorer la précision des calculs arithmétiques, nous allons utiliser une propriété des solutions de l’équation du 2d degré suivante :

\[a.x^2 + b.x + c = 0\]

Les deux solutions (potentiellement identiques et potentiellement imaginaires) de cette équation sont :

\[x_1 = \frac{-b+\sqrt{b^2-4ac}}{2a} \;\; \text{et} \;\; x_2 = \frac{-b-\sqrt{b^2-4ac}}{2a}\]

Et la propriété de ces solutions que nous allons exploitée et :

\[x_1 \times x_2 = \frac{c}{a}\]

Le tableau ci-dessous propose une liste de cas pour les paramètres \(a\), \(b\) et \(c\) de l’équation pour lesquels une valeur exacte du produit des solutions est calculable par le quotient \(c/a\).

cas

\(a\)

\(b\)

\(c\)

produit exact \(x_1 \times x_2\)

#1

3

-21

15

5

#2

1

3

-11

-11

#3

1

-60000000

1

1

#4

-13757

41271

3069585653

-223129

#5

13757

-925576755971588797

7959927190867

578609231

Modifier le code suivant pour calculer les solutions \(x_1\) et \(x_2\)

# Données d'entrée
a = 3
b = -21
c = 15
prod_exact = 5

# Calcule des racines de l'équation ax^2 + bx + c = 0
x_1 = 1 # <-- Remplacer la valeur 1 par l'expression de la racine 1
x_2 = 1 # <-- Remplacer la valeur 1 par l'expression de la racine 2
prod_calcule = x_1 * x_2
erreur_relative = abs(prod_calcule - prod_exact) / prod_exact

# Affichage des résulats
print("équation : ", a, "x² +", b, "x +", c, "= 0")
print("x1 =", x_1)
print("x2 =", x_2)
print("produit x1.x2 =", prod_calcule)
print("produit exact =", prod_exact)
print("erreur relative =", 100 * erreur_relative, "%")
équation :  3 x² + -21 x + 15 = 0
x1 = 1
x2 = 1
produit x1.x2 = 1
produit exact = 5
erreur relative = 80.0 %

Utiliser votre code modifié pour compléter dans le tableau suivant le produit \(x_1 \times x_2\) et sont erreur relative par rapport à la valeur exacte du produit.

cas

Produit exact

Produit calculé

Erreur relative (%)

#1

5

#2

-11

#3

1

#4

-223129

#5

578609231

5.23 🟥🟥 Conclusions sur la précision des calculs avec des nombres flottants#

L’écart entre les valeurs attendues et les valeurs obtenues en calcul numérique sur les flottants reste très faible dans la plupart des cas, mais peut parfois être très significatif pour certains cas pathologiques ; il est important d’en rester conscient. Il ne s’agit pas d’une limite spécifique au langage Python, mais d’une limite de la représentation en nombres à virgule flottante qui est partagée par l’ensemble des langages et des logiciels de calcul numérique, du langage C à Matlab en passant par le tableur Microsoft Excel.

Dans les deux questions précédentes, l’écart entre les valeurs attendues et les valeurs obtenues a pu être évalué, car la valeur attendue était connue. Dans la plupart des cas, la valeur attendue n’est pas connue, car le calcul numérique est justement utilisé pour l’obtenir. Le numéricien (celui qui développe un code pour du calcul numérique) cherchera à estimer les incertitudes de ses résultats de calcul, par exemple avec la méthode CESTAC (Contrôle et Estimation STochastique des Arrondis de Calcul).

Lorsque la maitrise de la précision ou l’exactitude des calculs sont primordiales, Python propose la classe Decimal dans son module decimal qui donne de nombreux contrôles sur la précision des nombres. decimal n’est donc pas un type de base du langage, mais il fait partie des modules standards de Python. Le code ci-dessous illustre que la petite erreur lors calcul de 0.1 + 0.1 + 0.1 - 0.3 avec des flottants devient inexistante dans des décimaux. Le bénéfice sur la précision maitrisée des calculs avec le type decimal est au prix d’une difficulté d’utilisation accrue et d’un temps de calcul plus lent.

import decimal
f1, f3 = float("0.1"), float("0.3")
d1, d3 = decimal.Decimal("0.1"), decimal.Decimal("0.3")
print("en flottant 0.1 + 0.1 + 0.1 - 0.3 =", f1 + f1 + f1 - f3)
print("en décimal  0.1 + 0.1 + 0.1 - 0.3 =", d1 + d1 + d1 - d3)
en flottant 0.1 + 0.1 + 0.1 - 0.3 = 5.551115123125783e-17
en décimal  0.1 + 0.1 + 0.1 - 0.3 = 0.0

6. Chaines de caractères#

6.1 Introduction aux chaines de caractères#

Un « caractère » peut être une lettre (A b ç é δ), un chiffre (0 1 2 3), un signe de ponctuation ( . : ! § “), un idéogramme (漢 る 𓅓 ), un symbole mathématique (∮ ∈ ℕ ⊇), ou même un caractère de contrôle non imprimable (retour à la ligne, saut de ligne, bip sonore …). Python utilise la forme UTF-8 du standard de jeux de caractères Unicode comprenant 149 186 caractères. Un jeu de caractères (character set en anglais) est la combinaison de trois éléments :

  1. Un répertoire des caractères abstraits (ensemble des caractères représentables dans le jeu).

  2. Des points de code qui sont des nombres entiers que l’on associe de manière biunivoque aux caractères abstraits. Exemple : points de code de U+00 à U+7F pour les caractères latins de base, dans le jeu de caractères Unicode (exprimé en base hexadécimal).

  3. Un codage qui spécifie une représentation physique du caractère, ou plutôt de son point de code. Python utilise le code UTF-8 basé sur l’octet (8 bits) comme atome de codage.

Définition : une chaine de caractères dans le langage Python est une séquence de points de code du jeu de caractères Unicode.

Le tableau illustratif ci-dessous présente ces concepts avec la chaine de caractères “Émoji 😃”. Il montre comment une chaine de caractères Pyton est associée à une séquence de points de code, puis comment ces points de code sont codés selon UTF-8, et enfin comment cela produit une séquence d’octets, la représentation interne de la chaine de caractère. On notera que si le codage des points de code de 0 à 7F est direct (le nombre entier du point de code est codé directement dans un octet), les points de code supérieurs à 7F requièrent le codage moins trivial avec 2 voir 4 octets.

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

Les fonctions natives ord() et chr() permettent respectivement d’obtenir le point de code d’un caractère et d’obtenir le caractère à partir de son point de code ; ici le terme “caractère” doit se lire comme “chaine de caractères de longueur 1”, car contrairement à d’autres langages, Python ne propose pas le type spécifique pour un seul caractère.

ord("A")  # renvoie 65 (en décimal), le point de code Unicode du caractère "A"
chr(66)  # renvoie "B", le caractère correspondant au point de code Unicode 66

Les principales caractéristiques des chaines de caractères dans le langage Python sont :

  • immutable (objet non modifiable)

  • séquence ordonnée (itérable, accessible par indice et tranchage) (notion détaillée plus loin)

Pour créer un objet de type chaine de caractères, il existe trois moyens :

  • les littéraux (ex: “Bonjour”)

  • le constructeur d’instances de classe str()

  • les expressions à base d’opérateurs et de fonctions (ex : +, *, chr(), repr(), ascii(), bin(), hex(), oct(), min(), max())

Le tableau suivant donne les principales manières de construire un objet de type numérique

Chaine de caractères

Littéraux

entre apostrophes : 'cela autorise les "guillemets"'
entre guillemets (anglais) : "cela autorise les 'apostrophes'"
entre trois apostrophes ou guillemets : '''Trois apostrophes''', """Trois guillemets""" (les chaines entre trois apostrophes ou guillemets peuvent s’étendre sur plusieurs lignes)

Constructeur

str() donne '' (construit la chaine vide)
str("Oh !") donne 'Oh !'
str(23) donne '23' (construit une chaine à partir d’un entier)
str(0.000032) donne '3.2e-05' (construit une chaine à partir d’un flottant)
str("Émoji 😃") donne 'Émoji 😃'

Expressions

"aze" + "rty" donne 'azerty' (concaténation de deux chaines)
3 * "ab" donne 'ababab' (réplication en 3 exemplaires de la chaine “ab”)
chr(n) renvoie la chaine représentant un caractère dont le point de code Unicode est le nombre entier n, exemple, chr(8364) renvoie '€'
repr(x) renvoie une représentation en chaine de caractères de l’object x, la fonction tente de renvoyer une chaine qui produirait un objet ayant la même valeur lorsqu’elle est transmise à eval(), sinon , la représentation est une chaine entre crochets qui contient le nom du type de l’objet ainsi que des informations supplémentaires comprenant souvent le nom et l’adresse de l’objet.
repr(123e-8) renvoie '1.23e-06'
repr("Émoji 😃") renvoie "'Émoji 😃'"
ascii(x) renvoie, tout comme repr(), une chaine contenant une représentation destinée à l’affichage d’un objet x, mais en transformant les caractères non ASCII (points de code inférieurs à U+20 et supérieurs à U+7E) renvoyés par repr() par l’utilisation de séquences d’échappement \x, \u ou \U.
ascii("Émoji 😃") renvoie "'\\xc9moji \\U0001f603'"
bin(n) renvoie une chaine avec le préfixe “0b” qui est la représentation binaire, en base 2, de l’entier n.
bin(3) renvoie '0b11'
hex(n) renvoie une chaine avec le préfixe “0x” qui est la représentation hexadécimale, en base 16, de l’entier n
hex(125) renvoie '0x7d'
oct(n) renvoie une chaine avec le préfixe “0o” qui est la représentation octale, en base 8, de l’entier n
oct(8) renvoie '0o10'
min() renvoie le caractère ayant le plus petit point de code
min("python") renvoie 'h'
max() renvoie le caractère ayant le plus grand point de code
max("python") renvoie 'y'

Quelques fonctions natives suplémentaires qui s’appliquent à des chaines de caractères, mais qui ne renvoient pas une chaine.

  • len(s) renvoie un entier, la longueur de la chaine s (nombre de caractères)
    len("Bonjour") renvoie 7

  • eval(s) analyse et évalue la chaine s comme une expression Python
    eval("pow(3, 2) - 1.2") donne 7.8

6.2 ⚙️ Exercice - Concaténation de chaines de caractères#

À partir de variables prédéfinies n1, n2 et s1a, construire des chaines de caractères, les affecter à un nom de variable et les afficher.

Nom de
variable

Valeur de la chaine à construire

Variables prédéfinies

s1

"La masse est de 123 kg"

n1 = 123
s1a = "kg"

s2

"123 + 123 + 123 + 123 = 492"

n1 = 123

s3

"La représentation binaire de 123 est 0b1111011"

n1 = 123

s4

"Le point de code de π est 0x3c0"

n2 = 0x03C0

  • Les chaines ou sous-chaines "123", "kg", "0x03C0" et "π" ne doivent pas apparaitre dans votre code, utiliser les variables n1, n2 et s1a à la place.

  • \(\text{03C0}_{(16)}\) est le point de code du caractère \(\pi\) dans le jeu de caractères Unicode.

# Données d'entrée
n1 = 123  # entier littéral en base 10
s1a = "kg"  # chaîne de caractères littérale
n2 = 0x03C0  # entier littéral en base 16

# Insérez votre code ici
s1 = ""  # <-- Modifier cette ligne
print(s1)
s2 = ""  # <-- Modifier cette ligne
print(s2)
s3 = ""  # <-- Modifier cette ligne
print(s3)
s4 = ""  # <-- Modifier cette ligne
print(s4)

# test de la cellule de code précédente
assert s1 == "La masse vaut 123 kg", "La chaine s1 est incorrecte"
assert s2 == "123 + 123 + 123 + 123 = 492", "La chaine s2 est incorrecte"
assert s3 == "La représentation binaire de 123 est 0b1111011", "La chaine s1 est incorrecte"
assert s4 == "Le point de code de π est 0x3c0", "La chaine s1 est incorrecte"

6.3 Séquences d’échappement#

Le caractère d’échappement est utilisé dans les chaines de caractères pour représenter des caractères spéciaux, comme les caractères de contrôle. Le caractère d’échappement pour Python est la barre oblique inversée \ (antislash en anglais). L’échappement marque le début d’une séquence de caractères, appelée séquence d’échappement. Les caractères d’une séquence d’échappement sont interprétés différemment des mêmes caractères qui ne seraient pas précédés du caractère d’échappement.

Voici quelques exemples courants de séquences d’échappement en Python :

  • \n : saut de ligne ASCII (LF, Line Feed)

  • \r : retour à la ligne (CR, Carriage Return)

  • \t : tabulation horizontale (TAB)

  • \" : guillemet anglais (")

  • \' : apostrophe (')

  • \\ : barre oblique inversée (\), en effet \ seul ne peut signifier barre oblique inversée puis qu’il représente le début d’une séquence d’échappement

  • \xhh : caractère dont le point de code est hh en hexadécimal (limité aux points de code de 00 à FF)

  • \uhhhh : caractère dont le point de code est hh en hexadécimal (limité aux points de code de 00 à FF)

  • \Uhhhhhhhh : caractère dont le point de code est hh en hexadécimal (limité aux points de code de 00 à FF)

  • \<newline> : barre oblique inversée et retour à la ligne suivante sont ignorés

Voici quelques exemples pour illustrer des séquences d’échappement :

print("Ceci est une chaine avec un saut de ligne :\nVoici la deuxième ligne")
print("Ceci est une chaine avec une tabulation :\tVoici le texte après la tabulation")
print("Ceci est une chaine avec guillemets : \"Exemple de citation\"")
print('Ceci est une chaine avec apostrophes : \'Exemple d\'apostrophe\'')
print("Ceci est une chaine avec une barre oblique inversée : \\")
print("la séquence \\xe0 affiche le caractère '\xe0'")
print("Ceci est une chaine \
d'une seule ligne, mais \
écrite sur plusieurs lignes")
Ceci est une chaine avec un saut de ligne :
Voici la deuxième ligne
Ceci est une chaine avec une tabulation :	Voici le texte après la tabulation
Ceci est une chaine avec guillemets : "Exemple de citation"
Ceci est une chaine avec apostrophes : 'Exemple d'apostrophe'
Ceci est une chaine avec une barre oblique inversée : \
la séquence \xe0 affiche le caractère 'à'
Ceci est une chaine d'une seule ligne, mais écrite sur plusieurs lignes

Par défaut, Python interprète les séquences d’échappement dans les chaines de caractères littérales avant d’en stocker le résultat dans l’objet de type chaine. Si l’on ne souhaite pas interpréter les séquences d’échappement, la chaine littérale doit être préfixée de la lettre r (raw en anglais), par exemple :

s1 = r"Une séquence d'échappement commence par \, exemple \n pour un saut de ligne"
print(s1)
Une séquence d'échappement commence par \, exemple \n pour un saut de ligne

6.4 ⚙️ Exercice - Séquences d’échapement#

Construire chacunes des chaines de caractères du tableau par une chaine littérale, puis les affectées à leur nom de variable et les afficher.

Nom de
variable

Résultat attendu de l’affichage

s5

“La Création d’Adam” de Michel-Ange

s6

Liste des “courses”
- jus d’orange
- pailles

s7

Les chaines litérales utilisent ‘, “, ‘’’ ou “”” pour délimiter le texte

# Insérer votre code ici

On notera qu’il existe une alternative sans séquences d’échapement pour s5 et s6.

  • s5 contient à la fois une apostrophe et des guillemets, mais jamais trois successivement, il est donc possible de délimiter la chaine littérale par 3 guillemets pour que les guillemets présents dans la chaine ne soient pas interprétés comme la fin de cette chaine.

  • s6 contient des retours à la ligne qui peuvent être contenus dans une chaine littérale délimitée par trois apostrophes ou trois guillemets.

s5 = """"La Création d'Adam" de Michel-Ange"""
print(s5)
s6 = """Liste des "courses" :
  - jus d'orange
  - pailles"""
print(s6)
"La Création d'Adam" de Michel-Ange
Liste des "courses" :
  - jus d'orange
  - pailles

6.5 ⚙️ Exercice - Fonctions natives sur les chaines#

Pour chacune des chaines s1 à s5 du code suivant, afficher la représentation de la chaine fournie par repr() et sa longueur.

Faire de même pour la chaine s6 qui sera construite en respectant les containtes suivantes :

  • même contenu que s5

  • générée par concaténation (+) de caractères obtenus à partir de leurs points de code (chr())

s1 = "Bonjour à tous"
s2 = """Bonjour
à tous"""
s3 = "Bonjour \
à tous"
s4 = "Bonjour\nà tous"
s5 = "\xc9\x6d\x6f\x6a\x69\x20\U0001F603"

# Insérer votre code ici

6.6 Méthodes des chaines de caractères#

6.6.1 Sélection de méthodes de chaines#

La liste qui suit rassemble les méthodes de chaines de caractère qui sont les plus couramment utilisées.

  • Pour gérer la casse (lettres majuscules et lettres minuscules)

    • upper() renvoie une copie de la chaine où tous les caractères capitalisables ont été convertis en capitales.

    • lower() renvoie une copie de la chaine où tous les caractères qui le permettent ont été convertis en minuscules.

  • Pour supprimer ou remplacer des caractères

    • strip() renvoie une copie de la chaine dont des caractères d’espacement initiaux et finaux sont supprimés.

    • replace(old, new, n) renvoie une copie de la chaine dont les n premières occurrences de la sous-chaine old sont remplacées par new. n peut être omis, alors toutes les occurrences sont remplacées.

  • Pour mettre en forme la chaine

    • format(arg1, arg2...) renvoie une copie de la chaine où chaque champ de remplacement délimiter par des accolades {} est remplacé par un des arguments arg1, arg2… après sa mis en forme (méthode détaillée plus tard).

  • Pour joindre et découper des chaines

    • join(iterable) renvoie une chaine qui est la concaténation des chaines contenues dans iterable. Le séparateur entre les éléments est la chaine sur laquelle cette méthode s’applique.

    • split(sep) renvoie une liste des mots de la chaine, en utilisant la chaine sep comme séparateur de mots. Si sep n’est pas spécifié ou vaut None, tout caractère d’espacement est un séparateur.

    • splitlines() renvoie les lignes de la chaine sous forme de liste.

  • Pour rechercher l’emplacement de caractères

    • find(sub, start, end) renvoie l’indice de la première position de la sous-chaine sub dans la chaine sur laquelle la méthode est appliquée et uniquement entre les indices start et end. Si end est omis la recherche va jusqu’au bout et si start et end sont omis la recherche se fait sur toute la chaine. Renvoie -1 si sub n’est pas trouvée.

# Gestion des majuscules et minuscules
"Bonjour à tous".upper()  # renvoie `BONJOUR À TOUS`
"BONJOUR À TOUS".lower()  # renvoie 'bonjour à tous'

# Suppression ou remplacement de caractères
" \t   Bonjour à tous  \n  \t   ".strip()  # renvoie 'Bonjour à tous'
"Bonjour à tous".replace("ou", "XXX")  # renvoie 'BonjXXXr à tXXXs'

# Mise en forme d'une chaine
"E = {1} GPa  pour {0}".format(
  "l'acier à ressort", 220
)  # donne "E = 220 GPa  pour l'acier à ressort"

# Jonction des chaines
" ".join(["Bonjour", "à", "tous"])  # renvoie 'Bonjour à tous'

# Découpage de chaines
"Bonjour à tous".split()  # renvoie ['Bonjour', 'à', 'tous']
"Bonjour à tous".split("ou")  # renvoie ['Bonj', 'r à t', 's']
"""Bonjour
à toutes et 
à tous""".splitlines()  # ['Bonjour', 'à toutes et ', 'à tous']

# Recherche une chaine, l'indice du 1er caractère d'une chaine est 0
"Bonjour à tous".find("ou")  # renvoie 4 

6.6.2 ⚙️ Exercice - Méthodes de chaines#

Construire une chaine de caractères à partir d’une chaine quelconque li_1 et des méthodes de chaine pour que la chaine résultante soit telle que :

  • les espaces sont remplacés par une le caractère tiret bas "_"

  • les apostrophes sont remplacées par le signe moins "-"

  • les lettres sont remplacées par leur version minuscule

Exemple pour ch_1

Chaine attendue

"Tour EIFFEL.jpg"

"tour_eiffel.jpg"

"Musée d'Orsay.jpeg"

"musée_d-orsay.jpeg"

ch_1 = "Tour EIFFEL.jpg"
# ch_1 = "Musée d'Orsay.jpeg"

# Insérer votre code ici

6.6.3 🟥🟥 Gestion de la casse#

Les méthodes de str pour gérer la casse (lettres majuscules et lettres minuscules) sont :

  • upper() renvoie une copie de la chaine où tous les caractères capitalisables ont été convertis en capitales.

  • lower() renvoie une copie de la chaine où tous les caractères qui le permettent ont été convertis en minuscules.

  • swapcase() renvoie une copie de la chaine où les caractères majuscules sont convertis en minuscules et vice versa.

  • capitalize() renvoie une copie de la chaine avec son premier caractère en majuscule et le reste en minuscule.

  • title() renvoie une version de la chaine où les mots commencent par une capitale et les caractères restants sont en minuscules.

# Gestion des majuscules et minuscules
"Bonjour à tous".upper()  # renvoie `BONJOUR À TOUS`
"BONJOUR À TOUS".lower()  # renvoie 'bonjour à tous'
"Bonjour à tous".swapcase()  # renvoie 'bONJOUR À TOUS'
"BONJOUR À TOUS".capitalize()  # renvoie 'Bonjour à tous'
"Bonjour à tous".title()  # renvoie 'Bonjour À Tous'

6.6.4 🟥🟥 Suppression du début et de fin#

Les méthodes de str pour supprimer des caractères en début et/ou fin de chaine sont:

  • strip() renvoie une copie de la chaine dont des caractères d’espacement initiaux et finaux sont supprimés.

  • strip(car) renvoie une copie de la chaine dont des caractères initiaux et finaux qui sont dans la chaine car sont supprimés.

  • rstrip() renvoie une copie de la chaine dont des caractères d’espacement finaux sont supprimés.

  • rstrip(car) renvoie une copie de la chaine dont des caractères finaux qui sont dans la chaine car sont supprimés.

  • lstrip() renvoie une copie de la chaine dont des caractères d’espacement initiaux sont supprimés.

  • lstrip(car) renvoie une copie de la chaine dont des caractères initiaux qui sont dans la chaine car sont supprimés.

  • removeprefix(prefix) renvoie une copie de la chaine de caractères sans la sous-chaine initiale prefix. Si la chaine ne commence pas par la sous-chaine prefix, la méthode renvoie une copie de la chaine originale.

  • removesuffix(suffix) renvoie une copie de la chaine de caractères sans la sous-chaine finale suffix. Si la chaine ne finit pas par la sous-chaine suffix, la méthode renvoie une copie de la chaine originale.

# Suppression de caractères en début et fin de chaine
" \t   Bonjour à tous  \n  \t   ".strip()  # renvoie 'Bonjour à tous'
"www.exemple.com".strip("cmowz.")  # renvoie 'exemple'
" \t   Bonjour à tous  \n  \t   ".rstrip()  # renvoie ' \t   Bonjour à tous'
"www.exemple.com".rstrip("cmowz.")  # renvoie 'www.exemple'
" \t   Bonjour à tous  \n  \t   ".lstrip()  # renvoie 'Bonjour à tous  \n  \t   '
"www.exemple.com".lstrip("cmowz.")  # renvoie 'exemple.com'
"www.exemple.com".removeprefix("www.")  # renvoie 'exemple.com'
"www.exemple.com".removesuffix(".com")  # renvoie 'www.exemple'

6.6.5 🟥🟥 Recherche de chaine#

Les méthodes de str pour rechercher l’emplacement d’une chaine dans une autre chaine sont :

  • find(sub, start, end) renvoie l’indice de la première position dans la chaine où la sous-chaine sub se trouve dans la chaine sur laquelle la méthode est appliquée et entre les indices start et end. Si end est omis la recherche va jusqu’au bout et si start et end sont omis la recherche se fait sur toute la chaine. Renvoie -1 si sub n’est pas trouvée.

  • rfind(sub, start, end) renvoie l’indice le plus élevé dans la chaine où la sous-chaine sub se trouve dans la chaine sur laquelle la méthode est appliquée. Si end est omis la recherche dès la fin de la chaine, et si start et end sont omis la recherche se fait sur toute la chaine. Renvoie -1 si sub n’est pas trouvée.

  • index(sub, start, end) renvoie la même chose que find(), mais lève une ValueError lorsque la chaine sub est introuvable.

  • rindex(sub, start, end) renvoie la même chose que rfind(), mais lève une ValueError lorsque la chaine sub est introuvable.

# l'indice du 1er caractère d'une chaine est 0
"Bonjour à toutes et à tous".find("ou")  # renvoie 4 
"Bonjour à toutes et à tous".find("o", 7)  # renvoie 11
"Bonjour à toutes et à tous".find("o", 7, 15)  # renvoie 11

"Bonjour à toutes et à tous".rfind("ou")  # renvoie 23
"Bonjour à toutes et à tous".rfind("o", 0, 20)  # renvoie 11
"Bonjour à toutes et à tous".rfind("o", 5, 10)  # renvoie -1

6.6.6 🟥🟥 Remplacement et suppression de caractères#

Les méthodes de str pour remplacer et supprimer des caractères sont :

  • expandtabs(tabsize) renvoie une copie de la chaine où toutes les tabulations sont remplacées par une ou plusieurs espaces, en fonction de la colonne courante et de la taille de tabulation donnée par tabsize qui vaut 8 par défaut.

"1\t012\t123\t1234\t12345".expandtabs()  # donne '1       012     123     1234    12345'
#        tabulations tous les 8 caractères -->    ⊥       ⊥       ⊥       ⊥       ⊥

"1\t012\t123\t1234\t12345".expandtabs(4)  # donne '1   012 123 1234    12345'
#         tabulations tous les 4 caractères -->    ⊥   ⊥   ⊥   ⊥   ⊥   ⊥
  • replace(old, new, n) renvoie une copie de la chaine dont les n premières occurrences de la sous-chaine old sont remplacées par new. n peut être omis, alors toutes les occurrences sont remplacées.

  • translate(table) renvoie une copie de la chaine dans laquelle chaque caractère a été traduit selon la table de correspondance. La table peut être construite avec la méthode statique maketrans(old, new, suppr)

  • str.maketrans(old, new, suppr) est une méthode statique de la classe str (elle ne s’applique ni sur une instance de chaine, ni sur la classe str, elle est simplement “rangée’ dans str), elle renvoie une table de traduction de caractères qui peut être transmise comme argument à la méthode translate(). La table spécifie qu’il faudra remplacer le ième caractère de la chaine old par le ième caractère de la chaine new et qu’il faudra supprimer les caractères présents dans la chaine suppr. Les arguments old et new doivent avoir le même nombre de caractères.

"Bonjour à toutes et à tous".replace("ou", "XXX", 2)  # renvoie 'BonjXXXr à tXXXtes et à tous'
"Bonjour à toutes et à tous".replace("ou", "XXX")  # renvoie 'BonjXXXr à tXXXtes et à tXXXs'

table = str.maketrans("cEilNPr", "uBoronj", "aSsy- ")  # renvoie une table de traduction
#
#      caractères...   | c | E | i | l | N | P | r |
#    ------------------|---|---|---|---|---|---|---|
#    ...à remplacé par | u | B | o | r | o | n | j |
#
#  caractères à supprimer | a | S | s | y | - | espace |
#
"ENS Paris-Saclay".translate(table)  # renvoie 'Bonjour'

6.6.7 🟥🟥 Mise en forme#

Les méthodes de str pour mettre en forme la chaine sont :

  • center(width, fillchar) renvoie la chaine au centre d’une chaine de longueur width en utilisant le caractère fillchar pour le remplissage ou " " si l’argument est omis. La chaine d’origine est renvoyée si width est trop petit.

  • ljust(width, fillchar) renvoie la chaine justifiée à gauche dans une chaine de longueur widthen utilisant le caractère fillchar pour le remplissage ou " " si l’argument est omis. La chaine d’origine est renvoyée si width est trop petit.

  • rjust(width, fillchar) renvoie la chaine justifiée à droite dans une chaine de longueur widthen utilisant le caractère fillchar pour le remplissage ou " " si l’argument est omis. La chaine d’origine est renvoyée si width est trop petit.

  • zfill(width) renvoie une copie de la chaine remplie par la gauche du chiffre "0" pour faire une chaine de longueur width. Un préfixe (“+” / “-”) est permis par l’insertion du caractère de bourrage après le caractère de préfixe. La chaine d’origine est renvoyée si width est trop petit.

  • format(arg1, arg2...) renvoie une copie de la chaine où chaque champ de remplacement délimiter par des accolades {} est remplacé par un des arguments arg1, arg2… après sa mis en forme (méthode détaillée plus tard).

"Salut".center(10)  # renvoie '  Salut   '
"Salut".center(10, "-")  # renvoie '--Salut---'

"Salut".ljust(10)  # renvoie 'Salut     '
"Salut".ljust(10, "-")  # renvoie 'Salut-----'

"Salut".rjust(10)  # renvoie '     Salut'
"Salut".rjust(10, "-")  # renvoie '-----Salut'

"Salut".zfill(10)  # renvoie '00000Salut'
"1.234".zfill(10)  # renvoie '000001.234'
"+1.23".zfill(10)  # renvoie '+000001.23'
"-1.23".zfill(10)  # renvoie '-000001.23'

6.6.8 🟥🟥 Jonction et découpage#

Les méthodes de str pour joindre et découper des chaines sont :

  • split(sep, maxsplit) renvoie une liste des mots de la chaine, en utilisant la chaine sep comme séparateur de mots. Si maxsplit est donné, c’est le nombre maximum de divisions qui pourront être effectuées. Si maxsplit n’est pas fourni, toutes les divisions possibles sont faites. Si sep n’est pas spécifié ou vaut None, tout caractère d’espacement est un séparateur.

  • rsplit(sep, maxsplit) renvoie une liste des mots de la chaine, en utilisant la chaine sep comme séparateur. les maxsplit divisions « les plus à droite » sont effectuées. Si sep vaut None, tout caractère d’espacement est un séparateur.

  • splitlines() renvoie les lignes de la chaine sous forme de liste.

  • partition(sep) divise la chaine à la première occurrence de la chaine séparateur sep, et renvoie un triplet contenant la partie avant le séparateur, le séparateur lui-même, et la partie après le séparateur. Si le séparateur n’est pas trouvé, le triplet contient la chaine elle-même, suivie de deux chaines vides.

  • join(iterable) renvoie une chaine qui est la concaténation des chaines contenues dans iterable. Le séparateur entre les éléments est la chaine sur laquelle cette méthode s’applique.

"Bonjour à tous".split()  # renvoie ['Bonjour', 'à', 'tous']
"Bonjour à tous".split(None, 1)  # renvoie ['Bonjour', 'à tous']
"Bonjour à tous".split("ou")  # renvoie ['Bonj', 'r à t', 's']
"1, 2, 3, 4".split(",")  # renvoie ['1', ' 2', ' 3', ' 4']
"1, 2, 3, 4".split(",", 2)  # renvoie ['1', ' 2', ' 3, 4']

"1, 2, 3, 4".rsplit(",", 2)  # renvoie ['1, 2', ' 3', ' 4']

"""Bonjour
à toutes et 
à tous""".splitlines()  # ['Bonjour', 'à toutes et ', 'à tous']

"Bonjour".partition("jo")  # renvoie ('Bon', 'jo', 'ur')

"_".join(["il", "fait", "beau"])  # renvoie 'il_fait_beau'

6.6.9 🟥🟥 Test du contenu d’un chaine#

Les méthodes de str pour tester le contenu “textuel” d’une chaine sont :

  • startswith(prefix, start, end) renvoie True si la chaine commence par la sous-chaine prefix, sinon False. Si l’argument optionnel start est donné, la comparaison commence à cette position. Si l’argument optionnel end est donné, la comparaison s’arrête à celle-ci.

  • endswith(suffix, start, end) renvoie True si la chaine se termine par la sous-chaine suffix, sinon False. Si l’argument optionnel start est donné, la comparaison commence à cette position. Si l’argument optionnel end est donné, la comparaison s’arrête à celle-ci.

  • isupper() renvoie True si tous les caractères capitalisables de la chaine sont en majuscules et s’il y a au moins un caractère en majuscule, sinon False.

  • islower() renvoie True si tous les caractères capitalisables de la chaine sont en minuscules et qu’elle contient au moins un caractère capitalisable, sinon False.

  • istitle() renvoie True si la chaine est une chaine où les mots commencent par une capitale et les caractères restants sont en minuscules et qu’elle contient au moins un caractère, sinon False.

  • isalnum() renvoie True si tous les caractères de la chaine sont alphanumériques et qu’il y a au moins un caractère, sinon False.

  • isalpha() renvoie True si tous les caractères de la chaine sont alphabétiques et qu’il y a au moins un caractère, sinon False.

  • isascii() renvoie True si la chaine est vide ou ne contient que des caractères ASCII, False sinon. Les caractères ASCII ont un code dans l’intervalle “U+0000”–“U+007F”.

  • isspace() renvoie True s’il n’y a que des caractères d’espacement dans la chaine et qu’elle comporte au moins un caractère, sinon False.

"www.exemple.com".startswith("www")  # renvoie True
"www.exemple.com".startswith("http")  # renvoie False
"www.exemple.com".startswith("exe", 4)  # renvoie True

"www.exemple.com".endswith("com")  # renvoie True
"www.exemple.com".endswith("org")  # renvoie False
"www.exemple.com".endswith("ple", 0, 11)  # renvoie True

"Bonjour à tous".isupper()  # renvoie False 
"BONJOUR À TOUS".isupper()  # renvoie True

"Bonjour à tous".islower()  # renvoie False
"bonjour à tous".islower()  # renvoie True

"Bonjour à tous".istitle()  # renvoie False 
"Bonjour À Tous".istitle()  # renvoie True 

"quoi de neuf ?".isalnum()  # renvoie False à cause des espaces et du point d'interrogation
"koi29".isalnum()  # renvoie True car tous les caractères sont alphanumériques

"Porte-clés".isalpha()  # renvoie False à cause du tiret
"Trousseau".isalpha()  # renvoie True car tous les caractères sont alphabétiques

"25 Portes-clés !".isascii()  # renvoie False à cause du é
"25 trousseaux !".isascii()  # renvoie True car tous les caractères sont ASCII

"    ".isspace()  # renvoie True
"\t\n\t".isspace()  # renvoie True
"".isspace()  # renvoie False

Les méthodes de str pour tester le contenu “numérique” d’une chaine sont :

  • isdecimal() renvoie True si tous les caractères de la chaine sont des caractères décimaux et qu’elle contient au moins un caractère, sinon False. Les caractères décimaux sont ceux pouvant être utilisés pour former des nombres en base 10. Formellement, un caractère décimal est un caractère Unicode dont la propriété Numeric_Type est Decimal (voir Nd). Exemples : 0 1 9 ६ (6 en Devanagari) ೬ (6 en Kannada) 𝟨 (6 mathématique en style sans serif)

  • isdigit() renvoie True si tous les caractères de la chaine sont des chiffres et qu’elle contient au moins un caractère, False sinon. Formellement, un chiffre est un caractère Unicode dont la propriété Numeric_Type est Digit ou Decimal. Exemples : ¹ (exposant) ① ⒈ (chiffre avec un point en un seul caractère).

  • isnumeric() renvoie True si tous les caractères de la chaine sont des caractères numériques et qu’elle contient au moins un caractère, sinon False. Les caractères numériques comprennent les chiffres et tous les caractères qui ont la propriété Unicode numeric_value, par exemple ¾ ௰ (10 en Tamil) Ⅹ (10 en chiffre romain) 六 (6 en Han).

"0123456789".isdecimal()  # renvoie True car tous les caractères sont des chiffres décimaux indo-européens
"-25.1".isdecimal()  # renvoie False à cause du point et du signe négatif
"٠١٢٣٤٥٦٧٨٩".isdecimal()  # renvoie True car tous les caractères sont des chiffres décimaux arabes
"०१२३४५६७८९".isdecimal()  # renvoie True car tous les caractères sont des chiffres décimaux sanscrits
"ⅠⅡⅢⅣⅤⅥⅦⅧⅨ".isdecimal()  # renvoie False car les caractères sont des chiffres alphanumériques
"①②③④⑤⑥⑦⑧⑨".isdecimal()  # renvoie False les chiffre encerclés ne sont pas considérés comme des chiffres décimaux
"2³".isdecimal()  # renvoie False à cause de l'exposant n'est pas considéré comme un chiffre décimal

"0123456789".isdigit()  # renvoie True car tous les caractères sont des chiffres indo-européens
"2³".isdigit()  # renvoie True car tous les caractères sont des chiffres
"-25.1".isdigit()  # renvoie False à cause du point et du signe négatif
"①②③④⑤⑥⑦⑧⑨".isdigit()  # renvoie True car tous les caractères représentent des chiffres
"⑩⑪⑫⑬⑭⑮⑯⑰⑱⑲⑳".isdigit()  # renvoie False car les caractères '⑩' à '⑳' sont des nombres et pas des chiffres
"ⅠⅡⅢⅣⅤⅥⅦⅧⅨ".isdigit()  # renvoie False car les caractères sont des chiffres alphanumériques
"𝋠𝋡𝋢𝋣𝋤𝋥𝋦𝋧𝋨𝋩𝋪𝋫𝋬𝋭𝋮𝋯𝋰𝋱𝋲𝋳".isdigit()  # renvoie False car les caractères sont des nombres mayas et pas des chiffres

"0123456789".isnumeric()  # renvoie True car tous les caractères sont des nombres
"ⅠⅡⅢⅣⅤⅥⅦⅧⅨⅩⅪⅫⅬⅭⅮⅯ".isnumeric()  # renvoie True car tous les caractères sont des nombres romains
"𝋠𝋡𝋢𝋣𝋤𝋥𝋦𝋧𝋨𝋩𝋪𝋫𝋬𝋭𝋮𝋯𝋰𝋱𝋲𝋳".isnumeric()  # renvoie True car tous les caractères sont des nombres mayas
"-25.1".isnumeric()  # renvoie False à cause du point et du signe négatif

Les autres méthodes de str pour une chaine sont :

  • count(sub, start, end) renvoie le nombre d’occurrences de sub ne se chevauchant pas dans l’intervalle d’indices des caractères [start, end] (le 1er caractère à l’indice 0). Les arguments start et end sont facultatifs. Si sub est vide, renvoie le nombre de chaînes vides.

  • encode(encoding) renvoie un objet de type bytes (séquence d’octets) qui représente le codage des la séquence des points de code de la chaine sur le type de codage donné par encoding (“utf-8” par défaut).

"Bonjour".count("o")  # compte le nombre de 'o', donne 2
"Bonjour".count("o", 2)  # compte le nombre de 'o' à partir de l'indice 2, donne 1
"Bonjour".count("ou")  # compte le nombre de 'ou', donne 1

"Bonjour".encode("utf-8")  # donne b'Bonjour'
"Émoji 😃".encode("utf-8")  # donne b'\xc3\x89moji \xf0\x9f\x98\x83'

6.6.10 🟥🟥 ⚙️ Exercice - Méthodes de chaines avancées#

On s’intéresse à des chaines utilisées comme nom de fichier. Pour faciliter l’interopérabilité entre les différents systèmes de fichiers (exemple: FAT32 pour les clés USB, ext4 pour Linux, HTFS pour MacOS, NTFS pour MS Windows…) qui utilisent des jeux de caractères parfois différents, on souhaite appliquer les règles de bonne écriture suivantes :

  • les lettres particulières à l’écriture latine à, ä, ç, é, ê, ë, è, î, ï, ô, ö, ù, ü, À, Ç, É, Ê, È, Î, Ô, Ù sont remplacées par leur équivalent sans accent ni cédille.

  • les guillemets " sont supprimés

  • les caractères interdits dans FAT32 /, :, *, ?, !, <, >, { et } sont remplacés par le caractère tiret bas _

  • les caractères d’espacement (espace, tabulation, retour à la ligne…) et les apostrophes ' sont remplacés par le caractère tiret bas _

  • les lettres sont remplacées par leur version minuscule

En utilisant des méthodes de chaines, proposer une façon de transformer les noms de fichiers du tableau ci-après. Votre proposition devra fonctionner pour tous les noms. Afficher le nom initial, le nom modifié et la valeur booléenne indiquant si le nouveau nom est formé uniquement de caractère ASCII.

nom initial

nom à construire

difficultés particulières

Tour EIFFEL.jpg

tour_eiffel.jpg

majuscule, espace

Champs Élysée.JPG

champs_elysee.jpg

lettre accentuée

Musée “d’Orsay”.jpeg

musee_d_orsay.jpeg

guillemet

Le Louvre 1/2.jpg

le_louvre_1_2.jpg

barre oblique

Île de la Cité: Notre-Dame.jpg

ile_de_la_Cité__Notre-Dame.jpg

deux points

Île de la Cité {Notre-Dame}.jpg

ile_de_la_Cité__Notre-Dame_.jpg

accolade

Champs Élysée
- concorde.jpg

champs_elysee_-_concorde.jpg

retour à la ligne

s1 = "Tour EIFFEL.jpg"
s2 = "Champs Élysée.JPG"
# ...

# Insérer votre code ici

6.7 Formatage d’objets en chaine de caractères#

La méthode d’instance des chaines de caractères format() est un outil de construction de chaine de caractères offrant de nombreuses fonctionnalités. Cette méthode s’applique à des chaines qui incluent des emplacements délimités par des accolades {}, dits emplacements de remplacement. La méthode format() remplace les emplacements de remplacement par des sous-chaines construites à l’aide de ses arguments. La figure ci-dessous illustre le principe de la méthode format() sur une chaine disposant de 3 emplacements de remplacement.

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

Dans cet exemple les emplacements de remplacement sont vides, mais ils peuvent contenir des directives pour spécifier :

  • La cible vers une donnée - quel argument de la méthode format() est utilisé ?

  • Le convertisseur - quelle fonction convertit la donnée en chaine de caractères ?

  • Le formatage - comment la donnée est mise en forme ?

Comme les accolades {} délimitent les chaines de remplacement, si dans une chaine à formater on souhaite utiliser une accolade, il faut le préciser à la méthode format() en doublant l’accolade, {{ pour obtenir { et }} pour obtenir }.

<cible> - Choix de la donnée à placer dans les emplacements de remplacement

  • laisser vide : le ième emplacements de remplacement utilisera le ième argument passé à la méthode format().

  • numéro d’ordre n : l’emplacement de remplacement utilisera l’argument ayant le même numéro d’ordre n dans la liste des arguments passés à la méthode format(). Le numéro d’ordre commence par 0.

  • nom de l’argument : l’emplacement de remplacement utilisera l’argument nommé.

# Choix de la donnée à placer dans les emplacements de remplacement
"{}, {} et {}".format("zéro", "un", "deux")  # donne 'zéro, un et deux'
"{1}, {0} et {1}".format("zéro", "un")  # donne 'un, zéro et un'
"{code} {ville}".format(ville="Saclay", code="91400")  # donne '91190 Saclay'
'91400 Saclay'

<convertisseur> - Choix du convertisseur pour construire une chaine de caractère à partie de la donnée et avant le formatage

  • laisser vide : pas de conversion avant le formatage

  • !s utilise la fonction native str(data) pour construire une chaine à partir de la donnée data

  • !r utilise la fonction native repr(data) pour construire une chaine à partir de la donnée data

  • !a utilise la fonction native ascii(data) pour construire une chaine à partir de la donnée data

# la ligne suivantes sont équivalentes et donnent "là là 'là' 'l\\xe0'"
"{} {!s} {!r} {!a}".format("là", "là", "là", "là")
"{0} {0!s} {0!r} {0!a}".format("là")
"{} {} {} {}".format("là", str("là"), repr("là"), ascii("là"))
"là là 'là' 'l\\xe0'"

<formatage> - Choix de la mise en forme

Le formatage est spécifié avec une chaine de caractère notée <spécification du="" format=""> qui suit le caractère : dans l’emplacement de remplacement. Par exemple l’emplacement {:^20} indique que la donnée sera sera placée au centre (^) d’une sous-chaine de longueur 20 caractères (par défaut le caractère de remplissage est l’espace).

La spécification de format est régie par un mini-langage qui décrit dans l’ordre :

  • l’alignement (caractère de remplissage, droite, centre, gauche)

  • le signe pour les numériques (présence ou non du signe +)

  • une version alternative du format pour les numériques

  • le remplissage par des 0 pour les numériques

  • la largeur de la sous-chaine de remplacement

  • la séparation de groupes de chiffres, ex. 1_234_567, 0b_0110_1100

  • la précision d’affichage, ex: nombre de chiffres significatifs

  • le type de mise en forme selon le type de la donnée

L’ordre des points doit être respecté, mais chacun est optionnel. L’essentiel du mini-langage est présenté dans le graphique ci-dessous, la version complète peut être lue ici -> mini-langage.</spécification>

6.7.1 Formatage des objets de type chaine de caractères#

Pour formater les objet de type les chaines de caractères, il n’y a qu’une possiblité offerte

  • "s" pour formater un objet chaine

Exemples de formatages des chaines de caractères

# remplissage = "" (" " par défaut pour une chaine)
# alignement = "" (gauche par défaut pour une chaine) 
# signe = "" (ne s'applique pas à une chaine)
# alternative = "" (ne s'applique pas à une chaine)
# remplissage de zéro = "" (ne s'applique pas à une chaine)
# largueur = "" (largueur de la donnée par défaut)
# séparation de groupes de chiffres = "" (ne s'applique pas à une chaine)
# precision = "" (toute la donnée par défaut)
# type = "" ("s" par défaut pour une chaine)

# défaut pour une chaine de caractères {}
print("début -->|{}|<-- fin avec {{}}".format("chaine"))
début -->|chaine|<-- fin avec {}
# type="s"
print("début -->|{:s}|<-- fin avec {{:s}}".format("chaine"))
# largueur="20" type="s"
print("début -->|{:20s}|<-- fin avec {{:20s}}".format("chaine"))
# alignement="<" largueur="20" type="s"
print("début -->|{:<20s}|<-- fin avec {{:<20s}}".format("chaine"))
# alignement="^" largueur="20" type="s"
print("début -->|{:^20s}|<-- fin avec {{:^20s}}".format("chaine"))
# alignement=">" largueur="20" type="s"
print("début -->|{:>20s}|<-- fin avec {{:>20s}}".format("chaine"))
# alignement="^" largueur="20" precision=".3" type="s"
print("début -->|{:^20.3s}|<-- fin avec {{:^20.3s}}".format("chaine"))
# remplissage="~" alignement="^" largueur="20" type="s"
print("début -->|{:~^20s}|<-- fin avec {{:~^20s}}".format("chaine"))
début -->|chaine|<-- fin avec {:s}
début -->|chaine              |<-- fin avec {:20s}
début -->|chaine              |<-- fin avec {:<20s}
début -->|       chaine       |<-- fin avec {:^20s}
début -->|              chaine|<-- fin avec {:>20s}
début -->|        cha         |<-- fin avec {:^20.3s}
début -->|~~~~~~~chaine~~~~~~~|<-- fin avec {:~^20s}

6.7.2 Formatage des objets numériques de type entier#

Pour les nombres entiers les types de format disponibles sont

  • "d" format décimal, affiche l’entier en base 10

  • "b" format binaire, affiche l’entier en base 2

  • "o" pour octal, affiche l’entier en base 10

  • "x" pour héxadécimal, affiche l’entier en base 16 avec les lettres en minuscules

  • "X" pour héxadécimal, affiche l’entier en base 16 avec les lettres en majuscules

  • "n" comme "d" mais avec les usages lingistique de la localisation

Exemples de formatages des entiers

# remplissage = "" (ne s'applique pas à un numérique)
# alignement = "" (droite par défaut pour un numérique) 
# signe = "" (pas d'affichage du + pour les entiers positifs par défaut)
# alternative = "" ("#" force l'affichage de la base pour les entiers)
# remplissage de zéro = "" (ne s'applique pas à une chaine)
# largueur = "" (largueur de la donnée par défaut)
# séparation de groupes de chiffres = "" (pas de séparateur par défaut)
# precision = "" (ne s'applique pas à un entier)
# type = "" ("d" par défaut pour un entier)

print("début -->|{}|<-- fin avec {{}}".format(12345678))
début -->|12345678|<-- fin avec {}
# type="d" (décimal)
print("début -->|{:d}|<-- fin avec {{:d}}".format(12345678))
# type="b" (binaire)
print("début -->|{:b}|<-- fin avec {{:b}}".format(12345678))
# type="o" (octal)
print("début -->|{:o}|<-- fin avec {{:o}}".format(12345678))
# type="x" (hexadécimal minuscule)
print("début -->|{:x}|<-- fin avec {{:x}}".format(12345678))
# type="X" (hexadécimal majuscule)
print("début -->|{:X}|<-- fin avec {{:X}}".format(12345678))
début -->|12345678|<-- fin avec {:d}
début -->|101111000110000101001110|<-- fin avec {:b}
début -->|57060516|<-- fin avec {:o}
début -->|bc614e|<-- fin avec {:x}
début -->|BC614E|<-- fin avec {:X}
# alternative="#" type="b" (binaire)
print("début -->|{:#b}|<-- fin avec {{:#b}}".format(12345678))
# alternative="#" type="x" (hexadécimal minuscule)
print("début -->|{:#x}|<-- fin avec {{:#x}}".format(12345678))
# alternative="#" type="X" (hexadécimal minuscule)
print("début -->|{:#X}|<-- fin avec {{:#X}}\n".format(12345678))

# séparateur="_" type="d" (décimal)
print("début -->|{:_d}|<-- fin avec {{:_d}}".format(12345678))
# séparateur="_" type="b" (binaire)
print("début -->|{:_b}|<-- fin avec {{:_b}}".format(12345678))
# séparateur="_" type="x" (hexadécimal minuscule)
print("début -->|{:_x}|<-- fin avec {{:_x}}".format(12345678))
début -->|0b101111000110000101001110|<-- fin avec {:#b}
début -->|0xbc614e|<-- fin avec {:#x}
début -->|0XBC614E|<-- fin avec {:#X}

début -->|12_345_678|<-- fin avec {:_d}
début -->|1011_1100_0110_0001_0100_1110|<-- fin avec {:_b}
début -->|bc_614e|<-- fin avec {:_x}
# largueur="16" type="d" (décimal)
print("début -->|{:16d}|<-- fin avec {{:16d}}".format(12345678))
# alignement=">" largueur= "16" type="d" (décimal)
print("début -->|{:>16d}|<-- fin avec {{:>16d}}".format(12345678))
# alignement="^" largueur= "16" type="d" (décimal)
print("début -->|{:^16d}|<-- fin avec {{:^16d}}".format(12345678))
# alignement="<" largueur= "16" type="d" (décimal)
print("début -->|{:<16d}|<-- fin avec {{:<16d}}".format(12345678))
début -->|        12345678|<-- fin avec {:16d}
début -->|        12345678|<-- fin avec {:>16d}
début -->|    12345678    |<-- fin avec {:^16d}
début -->|12345678        |<-- fin avec {:<16d}
# remplissage="0" largueur="16" type="d" (décimal)
print("début -->|{:016d}|<-- fin avec {{:16d}}".format(12345678))
# remplissage="0" alignement=">" largueur= "16" type="d" (décimal)
print("début -->|{:>016d}|<-- fin avec {{:>16d}}".format(12345678))
# remplissage="0" alignement="^" largueur= "16" type="d" (décimal)
print("début -->|{:^016d}|<-- fin avec {{:^16d}}".format(12345678))
# remplissage="0" alignement="<" largueur= "16" type="d" (décimal)
print("début -->|{:<016d}|<-- fin avec {{:<16d}}".format(12345678))
début -->|0000000012345678|<-- fin avec {:16d}
début -->|0000000012345678|<-- fin avec {:>16d}
début -->|0000123456780000|<-- fin avec {:^16d}
début -->|1234567800000000|<-- fin avec {:<16d}

Attention, on remarque qu’un remplissage par des 0 entraine une lecture d’un nombre différent si l’alignement à droite n’est pas utilisé.

# signe="" type="d" (décimal)
print("début -->|{:d}|<-- fin avec {{:d}}".format(12345678))
print("début -->|{:d}|<-- fin avec {{:d}}\n".format(-12345678))

# signe="+" type="d" (décimal)
print("début -->|{:+d}|<-- fin avec {{:+d}}".format(12345678))
print("début -->|{:+d}|<-- fin avec {{:+d}}\n".format(-12345678))

# signe=" " type="d" (décimal)
print("début -->|{: d}|<-- fin avec {{: d}}".format(12345678))
print("début -->|{: d}|<-- fin avec {{: d}}".format(-12345678))
début -->|12345678|<-- fin avec {:d}
début -->|-12345678|<-- fin avec {:d}

début -->|+12345678|<-- fin avec {:+d}
début -->|-12345678|<-- fin avec {:+d}

début -->| 12345678|<-- fin avec {: d}
début -->|-12345678|<-- fin avec {: d}

Le format de type "n" affiche l’entier selon les spécificités linguistiques. Cela permet une internationalisation (i18n en abrégé) des programmes. Par défaut, la localisation ou la régionalisation (l10n en agrégé) de l’interpréteur python "C". La fonction setlocale() du module locale permet de sélectionner la localisation linguistique pour l’interpréteur Python.

  • "C" (langage C) pour les usages informatiques anglophone

  • "" localisation du système d’exploitation

  • "fr_FR" pour la langue française en France

  • "us-US" pour la langue anglaise aux USA

import locale

# type="n" (suit les paramètres linguistiques en cours)
locale.setlocale(locale.LC_ALL, "C")
print(
    "début -->|{:n}|<-- fin avec {{:n}}".format(12345678),
    "  et localisation 'C'",
)
locale.setlocale(locale.LC_ALL, "fr_FR")
print(
    "début -->|{:n}|<-- fin avec {{:n}}".format(12345678),
    "et localisation 'fr_FR'",
)
locale.setlocale(locale.LC_ALL, "us_US")
print(
    "début -->|{:n}|<-- fin avec {{:n}}".format(12345678),
    "et localisation 'us_US'",
)
_ = locale.setlocale(locale.LC_ALL, "C") # restauration de la localisation
début -->|12345678|<-- fin avec {:n}   et localisation 'C'
début -->|12 345 678|<-- fin avec {:n} et localisation 'fr_FR'
début -->|12,345,678|<-- fin avec {:n} et localisation 'us_US'

6.7.3 ⚙️ Exercice - Formatage des entiers#

Modifier les 3 chaines de formatage f_titre, f_separ et f_ligne dans la cellule de code suivante, pour obtenir le rendu ci-dessous.

|  Décimal  |  Hexa  |         Binaire          | 
|-----------|--------|--------------------------| 
|        10 |      A | ....................1010 | 
|       100 |     64 | ................110_0100 | 
|     1_000 |    3E8 | ............11_1110_1000 | 
|    10_000 |   2710 | .......10_0111_0001_0000 | 
|   100_000 | 1_86A0 | ...1_1000_0110_1010_0000 | 
| 1_000_000 | F_4240 | 1111_0100_0010_0100_0000 | 
f_titre = "{} {} {}"  # <-- à modifier, format pour l'entête
f_separ = "{0} {0} {0}"  # <-- à modifier, format pour la ligne de séparation
f_ligne = "{0} {0} {0}"  # <-- à modifier, format pour les lignes de données

# Ne pas modifier les lignes suivantes
print(f_titre.format("Décimal", "Hexa", "Binaire"))
print(f_separ.format(""))
print(f_ligne.format(10))
print(f_ligne.format(100))
print(f_ligne.format(1000))
print(f_ligne.format(10000))
print(f_ligne.format(100000))
print(f_ligne.format(1000000))
Décimal Hexa Binaire
  
10 10 10
100 100 100
1000 1000 1000
10000 10000 10000
100000 100000 100000
1000000 1000000 1000000

6.7.4 Formatage des objets de type flottant#

Pour les nombres flottants, les types de formats disponibles sont

  • "f" notation en virgule fixe (6 chiffres après la virgule par défaut)

  • "e" notation scientifique (6 chiffres après la virgule par défaut)

  • "E" comme "e" mais avec un E majuscule pour l’exposant

  • "g" format général avec la notation en virgule fixe ou scientifique selon la taille du nombre

  • "G" comme "g" mais avec un E majuscule pour l’exposant

  • "%" pourcentage, multiplie le nombre par 100 et l’affiche en virgule fixe (f), suivi d’un symbole pourcent %

  • "n" comme "g" mais avec les usages linguistiques de la localisation

Exemples de formatages des nombres flottants

# remplissage = "" (ne s'applique pas à un numérique)
# alignement = "" (droite par défaut pour un numérique) 
# signe = "" (pas d'affichage du + pour les flottant positifs par défaut)
# alternative = "" ("#" force l'affichage de la base pour les flottants)
# remplissage de zéro = "" (pas de remplissage de zéro par défaut)
# largueur = "" (largueur de la donnée par défaut)
# séparation de groupes de chiffres = "" (pas de séparateur par défaut)
# precision = "" (6 par défaut pour un flottant)
# type = "" ("g" par défaut pour un flottant)

print("début -->|{}|<-- fin avec {{}}".format(1234.5678))
début -->|1234.5678|<-- fin avec {}
# Exploration des types de formatage pour les nombres flottants

print("début -->|{:f}|<-- fin avec {{:f}}".format(12345.6789))
print("début -->|{:e}|<-- fin avec {{:e}}".format(12345.6789))
print("début -->|{:E}|<-- fin avec {{:E}}".format(12345.6789))
print("début -->|{:g}|<-- fin avec {{:g}}".format(12345.6789))
print("début -->|{:g}|<-- fin avec {{:g}}".format(12345678.9))
print("début -->|{:G}|<-- fin avec {{:G}}".format(12345678.9))
print("début -->|{:%}|<-- fin avec {{:%}}".format(12345.6789))
début -->|12345.678900|<-- fin avec {:f}
début -->|1.234568e+04|<-- fin avec {:e}
début -->|1.234568E+04|<-- fin avec {:E}
début -->|12345.7|<-- fin avec {:g}
début -->|1.23457e+07|<-- fin avec {:g}
début -->|1.23457E+07|<-- fin avec {:G}
début -->|1234567.890000%|<-- fin avec {:%}
# Exploration des la précision pour le format des nombres flottants

print("début -->|{:.2f}|<-- fin avec {{:.2f}}".format(12345.6789))
print("début -->|{:.2e}|<-- fin avec {{:.2e}}".format(12345.6789))
print("début -->|{:.2g}|<-- fin avec {{:.2g}}".format(12345.6789))
print("début -->|{:.2%}|<-- fin avec {{:.2%}}".format(12345.6789))
début -->|12345.68|<-- fin avec {:.2f}
début -->|1.23e+04|<-- fin avec {:.2e}
début -->|1.2e+04|<-- fin avec {:.2g}
début -->|1234567.89%|<-- fin avec {:.2%}
# Exploration des la localisation pour le format des nombres flottants
import locale

# type="n" (suit les paramètres linguistiques en cours)
locale.setlocale(locale.LC_ALL, "C")
print(
    "début -->|{:n}|<-- fin avec {{:n}}".format(12345.6789),
    "  et localisation 'C'",
)
locale.setlocale(locale.LC_ALL, "fr_FR")
print(
    "début -->|{:n}|<-- fin avec {{:n}}".format(12345.6789),
    "et localisation 'fr_FR'",
)
locale.setlocale(locale.LC_ALL, "us_US")
print(
    "début -->|{:n}|<-- fin avec {{:n}}".format(12345.6789),
    "et localisation 'us_US'",
)
_ = locale.setlocale(locale.LC_ALL, "C") # restauration de la localisation
début -->|12345.7|<-- fin avec {:n}   et localisation 'C'
début -->|12 345,7|<-- fin avec {:n} et localisation 'fr_FR'
début -->|12,345.7|<-- fin avec {:n} et localisation 'us_US'

L’exemple de code suivant montre comment la méthode format() permet un formatage homogène de nombres de type et de représentation différents.

format1 = "{:>010.2f}"  # flottant aligné à droite avec une largeur de 10 
                        # précision de 2 et complété de '0'
format2 = "{:->10s}"  # chaine alignée à droite avec une largeur de 1
                      # et complétée de '-'

print(format1.format(1.23456e2))
print(format1.format(123456))
print(format1.format(0.009))
print(format2.format(""))
print(format1.format(1.23456e2 + 123456 + 0.009))
0000123.46
0123456.00
0000000.01
----------
0123579.47

6.7.5 ⚙️ Exercice - Formatage des flottants#

Modifier les chaines de formatage det1_ligne, det2_ligne dans la cellule de code suivante, pour obtenir le rendu ci-dessous pour les déterminants de deux matrices 3x3.

| -5.00  2.50 -1.67 |
|  1.00 -2.00  3.00 | = det(M1)
| -2.24  1.38 -1.62 |

| -3.95e-08  4.97e-20 -1.82e-21 |
|  1.00e+00  2.00e+00  3.00e+00 | = det(M2)
|  2.53e+07 -2.01e+19  5.50e+20 |
# Les deux lignes suivantes sont à modifier
det1_ligne = "| {} {} {} |"  # format pour les lignes du détermiant 1
det2_ligne = "| {} {} {} |"  # format pour les lignes du détermiant 2

# Ne pas modifier les lignes suivantes
print(det1_ligne.format(-5, 5/2, -5/3))
print(det1_ligne.format(1, -2, 3), "= det(M1)")
print(det1_ligne.format(-pow(5, .5), pow(5, 0.2), -pow(5, 0.3)))

print("")

print(det2_ligne.format(-pow(5.5, -10), pow(4.4, -30), -pow(3.3, -40)))
print(det2_ligne.format(1, 2, 3), "= det(M2)")
print(det2_ligne.format(pow(5.5, 10), -pow(4.4, 30), pow(3.3, 40)))
| -5 2.5 -1.6666666666666667 |
| 1 -2 3 | = det(M1)
| -2.23606797749979 1.379729661461215 -1.6206565966927624 |

| -3.947963283758405e-08 4.9707246392902095e-20 -1.817366025293967e-21 |
| 1 2 3 | = det(M2)
| 25329516.211914062 -2.0117791118334693e+19 5.502468881238416e+20 |

6.7.6 Chaine de caractères formatée#

Python propose une alternative à l’utilisation explicite de la méthode format() avec les chaines de caractères formatées (f-strings en anglais). En préfixant une chaine littérale d’un f ou d’un F, Python interprètera les emplacements délimités par des accolades {} comme des emplacements de remplacement. Les directives dans les emplacements de remplacement sont identiques à celles de la méthode format(), à un exception du champ <cible> qui doit directement être une expression suivi de manière optionnelle par le caractère “=”. Si le caractère est présent

Exemples de chaines de caractères formatées (f-string) :

f"{123:d} en base 10 s'écrit {123:X} en base 16 et {123:_b} en base 2"
"123 en base 10 s'écrit 7B en base 16 et 111_1011 en base 2"
nom, prenom, age = "Doe", "John", 32.0
f"{prenom:.1s}. {nom.upper()} à {age:.0f} ans."
'J. DOE à 32 ans.'
chaine = "Bonjour"
f"{chaine=}"
"chaine='Bonjour'"

6.7.7 ⚙️ Excercice - Chaines formatées#

À partir des seules variables art (nom d’un article), qte (quantité de l’article), pu_ht (prix unitaire hors-taxe de l’article) et tva (taux de TVA appliqué à l’article), proposé un chaine formatée (f-string) qui donne la chaine suivante :

"3 x 'Gourde ENS Paris-Saclay' à 7.00€ HT soit 25.20€ TTC"

art = "Gourde ENS Paris-Saclay" # nom de l'article
qte = 3  # quantité de l'article, soit 3 gourdes
pu_ht = 7  # prix unitaire hors-taxes en euros de l'article, soit 7€
tva = 0.2  # taux de TVA appliqué à l'article, soit 20%

# Insérez votre code ici

6.8 🟨 Comparaisons de chaines#

Pour comparer deux chaines de caractères entre elles, les six opérateurs de comparaison sont applicables : ==, !=, >, <, >= et <=.

  • == deux chaines sont égales si elles possèdent le même nombre caractères et que ceux situés aux mêmes rangs sont égaux.

  • != deux chaines sont différentes si elles ne sont pas égales au sens de la définition précédente

  • >, <, >=, <= les comparaisons utilisent l’ordre lexicographique, comme l’ordre des mots d’un dictionnaire de la langue française : les deux premiers caractères de chaque chaine sont comparés et, s’ils diffèrent, leur comparaison détermine le résultat de la comparaison des deux chaines ; s’ils sont égaux, les deux caractères suivants sont comparés à leur tour et ainsi de suite jusqu’à ce que l’une des chaines soit épuisée. Si tous les caractères d’une chaine sont les premiers caractères de l’autre chaine, alors la chaine la plus courte est celle dont la valeur est inférieure. Pour comparer deux caractères, leur point de code Unicode est utilisé.

Exemples :

"au revoir" < "bonjour"  # donne True, car à l'indice 0, "a" < "b"
"Pythagore" < "Python"  # donne True, car à l'indice 4, 'a' < 'o'
"Python" < "Pythonique"  # donne True, car "Python" est le début de "Pythonique"
"" < "a"  # donne True, une chaine vide est le début de la chaine "a"

"A" < "a"  # donne True, les majuscules sont avant les minuscules en Unicode
"e" < "é"  # donne True, les lettres accentuées sont après les non accentuées
"" < "a"  # donne True, une chaine vide est toujours avant une autre chaine
" " < "a"  # donne True, l'espace est avant les lettres en Unicode
"100" < "50"  # donne True, les chaines sont comparées caractère par caractère
"cinq" < "un"  # donne True, les chaines sont comparées caractère par caractère

6.9 🟨 ⚙️ Exercice - Comparaisons de chaines#

On se propose de trier mentalement, c’est-à-dire sans l’aide directe de l’interpréteur Python un ensemble de chaines de caractères dans l’ordre décroissant et de vérifier le résultat en affichant le résultat de la comparaison enchainée des chaines des caractères ordonnées. Voici un exemple avec les chaines "Ecole", "normale" "supérieure", "de" et "Paris-Saclay". Le code de vérification attendue est :

"supérieure" > "normale" > "de" >  "Paris-Saclay" > "Ecole"

True

Les chaines à trier dans l’ordre décroissant sont : "ABC", "AbC", "aBC", "AÇD", "abc1", "abc2" et "abc10"

Conseil : en cas de doute sur l’ordre de deux symboles, utiliser la fonction native ord() pour obtenir le point de code des symboles.

# Insérez votre code ici

7. Séquences#

7.1 Introduction aux séquences#

On appelle séquence, un objet qui contient des éléments ordonnés. Voici quelques séquences natives : str (les chaines de caractères vues précédemment), list (les listes), tuple (les n-uplets), range (les intervalles) ou bytes (les séquences d’octets).

On appelle longueur d’une séquence le nombre d’éléments qu’elle contient. Les séquences possèdent la méthode spéciale __len__() qui donne leur longueur. Exemples

"Robotique".__len__()  # donne 9, le nombre de caractères de la chaine "Robotique"
"".__len__()  # donne 0, le nombre de caractères de la chaine vide ""

Python propose également une fonction native pour obtenir le nombre d’éléments d’un objet.

  • len(s) renvoie la longueur (nombre d’éléments) de l’objet s. Dans la pratique, len(s) renvoie s.__len__().

len("Robotique")  # donne 9, le nombre de caractères de la chaine

7.2 Indiçage (indexing)#

On appelle l’indice (index en anglais) d’un élément de séquences, un entier qui caractérise la position de l’élément dans la séquence. Python indice les éléments d’une séquence de deux manières complémentaires :

  • l’indice 0 est attribué au premier élément et les éléments suivants sont indicés de manière croissante de 1 en 1,

  • l’indice -1 est attribué au dernier élément et les éléments précédents sont indicés de manière décroissante de -1 en -1.

Les indices positifs et négatifs sont illustrés sur le diagramme ci-dessous sur l’exemple de la chaine de caractères "Robobique".

|  R |  o |  b |  o |  t |  i |  q |  u |  e | Chaine de caractères (séquence)
|----|----|----|----|----|----|----|----|----|
|  0 |  1 |  2 |  3 |  4 |  5 |  6 |  7 |  8 | indices positifs
| -9 | -8 | -7 | -6 | -5 | -4 | -3 | -2 | -1 | indices négatifs

On notera qu’un élément de la séquence est désigné par deux indices distincts, un entier positif et un entier négatif. En revanche, un indice réfère à un et un seul élément, s’il existe. Cela permet de référer à un élément par sa position relative au début de la séquence ou par sa position relative à la fin de la séquence selon les besoins.

On appelle indiçage (indexing en anglais) l’opération qui désigne un élément dans une séquence à l’aide d’un indice. Python offre un accès efficace aux éléments d’une séquence par les méthodes spéciales __getitem__(), __setitem__() ou __delitem__() selon les besoins. Exemple pour obtenir à un élément :

"Robotique".__getitem__(2)  # donne 'b', l'élément d'indice 2 de "Robotique"
"Robotique".__getitem__(-5)  # donne 't', l'élément d'indice -5 de "Robotique"

Python propose un sucre syntaxique pour l’indiçage, une possibilité d’écriture plus succincte et plus intuitive, en accolant à une instance de séquence l’indice entre crochets. La syntaxe est objet_de_type_sequence[indice]. Exemples :

"Robotique"[2]  # donne 'b', équivalent à "Robotique".__getitem__(2)
"Robotique"[-5]  # donne 't', équivalent à "Robotique".__getitem__(-5)
s = "Robotique"
s[5]  # donne 'i', équivalent à s.__getitem__(5)

7.3 Tranchage (slicing)#

On appelle tranche (slice en anglais) une séquence d’indices d’éléments d’une séquence. Python propose le type d’objet slice pour représenter les tranches en compréhension, c’est-à-dire sans lister un à un les indices . On peut créer une tranche à l’aide du constructeur d’instances slice() des manières suivantes :

  • slice(stop) renvoie un objet tranche désignant les éléments d’une séquence allant du 1er inclus (indice 0) jusqu’à l’élément d’indice stop exclu. Si stop est None la tranche va jusqu’au dernier élément inclus.

  • slice(start, stop) renvoie un objet tranche désignant les éléments d’une séquence allant de l’élément d’indice start inclus, jusqu’à l’élément d’indice stop exclu. Si start est None la tranche commence à l’indice 0, si stop est None tranche va jusqu’au dernier élément inclus.

  • slice(start, stop, step) renvoie un objet tranche désignant les éléments d’une séquence allant de l’élément d’indice start inclus, jusqu’à l’élément d’indice stop exclu en progressant par pas de step éléments. Si step est négatif, la progression se fait en sens inverse.

    • si step est positif : si start est None la tranche commence au premier élément, si stop est None la tranche va jusqu’au dernier élément inclus.

    • si step est négatif : si start est None la tranche commence au dernier élément, si stop est None la tranche va jusqu’au premier élément inclus.

    • si step est None, la tranche progresse d’un élément en un élément.

Exemples :

slice(7)  # tranche de 0 à 7 exclu (0, 1, 2, 4, 5, 6)
slice(3, 7)  # tranche de 3 à 7 exclu (3, 4, 5, 6)
slice(3, 7, 2)  # tranche de 3 à 7 exclu par pas de 2 (3, 5)
slice(7, 3, -1)  # tranche de 7 à 3 exclu par pas de -1 (7, 6, 5, 4)
slice(7, 3, -2)  # tranche de 7 à 3 exclu par pas de -2 (7, 5)
slice(None)  # tranche désignant tous les éléments
slice(None, 7)  # tranche de 0 à 7 exclu (0, 1, 2, 3, 4, 5)
slice(7, None)  # tranche allant de 7 jusqu'au dernier inclus
slice(None, None, 2)  # tranche allant du premier au dernier inclus, de 2 en 2
slice(None, None, -1)  # tranche allant du dernier au premier inclus

Les indices start et stop peuvent être négatifs, l’un, l’autre ou les deux. Dans ce cas ils désignent les éléments d’une séquence par rapport au dernier élément.

On appelle tranchage (slicing en anglais) l’opération qui désigne, à l’aide d’une tranche, des éléments dans une séquence. Comme pour l’indiçage, les méthodes spéciales __getitem__(), __setitem__() ou __delitem__() effectuent le tranchage d’une séquence selon les besoins. Exemple :

"Robotique".__getitem__(slice(7))  # donne 'Robotiq'
"Robotique".__getitem__(slice(3, 7))  # donne 'otiq'
"Robotique".__getitem__(slice(3, 7, 2))  # donne 'oi'
"Robotique".__getitem__(slice(7, 3, -1))  # donne 'uqit'
"Robotique".__getitem__(slice(7, 3, -2))  # donne 'ui'

La syntaxe simplifiée avec les crochets [] est aussi utilisable avec les tranches. Exemple

"Robotique"[slice(7)]  # donne 'Robotiq'
"Robotique"[slice(3, 7)]  # donne 'otiq'
"Robotique"[slice(3, 7, 2)]  # donne 'oi'

Python propose un sucre syntaxique supplémentaire pour le tranchage avec la syntaxe de crochets [], en remplaçant [slice(start, stop, step)] par [start:stop:step].

Exemple de tranches

Sucre syntaxique équivalent, uniquement entre []

Commentaire

slice(stop)

:stop ou 0:stop

les stop premiers

slice(start, stop)

start:stop

de start à stop exclu

slice(start, stop, step)

start:stop:step

de start à stop exclu, de step en step

slice(start, None)

start:

de start jusqu’au dernier inclus

slice(None, stop, step)

:stop:step

si step > 0, du premier jusqu’à stop exclu, de step en step
si step < 0, du dernier jusqu’à stop exclu, de step en step

slice(start, None, step)

start::step

si step > 0, de start jusqu’au dernier inclus, de step en step
si step < 0, de start jusqu’au premier inclus, de step en step

slice(None, None, step)

::step

si step > 0, du premier jusqu’au dernier, de step en step
si step < 0, du dernier jusqu’au premier, de step en step

Exemples de tranchage avec l’utilisation des deux sucres syntaxiques

"Robotique"[:7]  # donne 'Robotiq', équivalent à "Robotique"[slice(7)] ou à
                 # "Robotique".__getitem__(slice(7))
                 
"Robotique"[3:7]  # donne 'otiq', équivalent à "Robotique"[slice(3, 7)] ou à
                  # "Robotique".__getitem__(slice(3, 7))
                  
"Robotique"[3:7:2]  # donne 'oi', équivalent à "Robotique"[slice(3, 7, 2)]
                    # ou à "Robotique".__getitem__(slice(3, 7, 2))
s = "Robotique"
s[::-1]  # donne 'euqitoboR', équivalent à s.__getitem__(slice(None, None, -1))

L’exemple qui suit montre l’intérêt d’assigner un nom aux tranches pour extraire avec lisibilité des “champs” (tranches) dans des lignes de texte régulières, comme elles peuvent se présenter dans un fichier texte. Les lignes de texte ist0, … ist6 décrivent des institutions de l’Université Paris-Saclay où le nom s’étend du 1er au 38e caractère exclu, le ville du 38e au 53e caractère exclus, la latitude en degrée du 53 au 61e caractère exclu est la longitude du 61e au 67e caractère exclu.

ist0 = "0.....................................38.............53......61...."
ist1 = "AgroParisTech                         Palaiseau      48.7143 2.1942"
ist2 = "CentraleSupélec                       Gif-sur-Yvette 48.7098 2.1624"
ist3 = "ENS Paris-Saclay                      Gif-sur-Yvette 48.7123 2.1641"
ist4 = "Institut d'optique Graduate School    Palaiseau      48.7137 2.2025"
ist5 = "Faculté des sciences de Paris-Saclay  Orsay          48.7014 2.1788" 
ist6 = "Faculté de pharmacie de Paris-Saclay  Orsay          48.7109 2.1724"  

NOM = slice(0, 38)  # nom assigné à la tranche allant de 0 à 38 exclu
VILLE = slice(38, 53)  # nom assigné à la tranche allant de 38 à 53 exclu
LATITUDE = slice(53, 61)  # nom assigné à la tranche allant de 53 à 61 exclu
LONGITUDE = slice(61, 67)  # nom assigné à la tranche allant de 61 à 67 exclu

institution = ist3

institution[NOM].strip()  # donne "ENS Paris-Saclay"
institution[VILLE].strip()  # donne "Gif-sur-Yvette"
institution[LATITUDE].strip()  # donne "48.7123"
institution[LONGITUDE].strip()  # donne "2.1641"

print(
    "{}, {} (https://www.google.com/maps/dir//{},{})".format(
        institution[NOM].strip(),
        institution[VILLE].strip(),
        institution[LATITUDE].strip(),
        institution[LONGITUDE].strip(),
    )
)  # donne "ENS Paris-Saclay, Gif-sur-Yvette (https://www.google.com/maps/dir//48.712300,2.164100)"
ENS Paris-Saclay, Gif-sur-Yvette (https://www.google.com/maps/dir//48.7123,2.1641)

7.4 ⚙️ Exercice - Indiçage et tranchage de séquences#

On s’intéresse à la chaine s = "École Normale Supérieure de Paris-Saclay".

Coder par indiçage ou tranchage de la chaine s les actions suivantes :

Action

Résultat attendu

Extraire le 18e caractère

'é'

Extraire les 5 premiers caractères

'École Normale Supérieure'

Extraire tous les caractères sauf les 5 premiers

' de Paris-Saclay'

Extraire les 12 derniers caractères

'Paris-Saclay'

Extraire tous les caractères sauf les 12 derniers

'École Normale Supérieure de '

Extraire tous les caractères du 15e au 24e inclu

'Supérieure'

Extraire tous les caractères à partir du 15e, sauf les 16 derniers

'Supérieure'

Extraire tous les caractères d’indice positif pair

'ÉoeNraeSprer ePrsSca'

Extraire tous les caractères d’indice positif impair

'cl oml uéiued ai-aly'

Extraire un caractère sur 5 à partir du 3e

'ooeér sl'

Extraire une copie de la chaine

'École Normale Supérieure de Paris-Saclay'

Extraire une copie de la chaine en sens inverse

'yalcaS-siraP ed erueirépuS elamroN elocÉ'

s = "École Normale Supérieure de Paris-Saclay"
# Insérez votre code ici

8. Listes#

8.1 Introduction aux listes#

Une liste Python est une collection ordonnée et modifiable d’objets arbitraires. Techniquement les listes Python ne sont pas à proprement parlé des listes chainées où l’accès à la ième valeur nécessite de parcourir toutes les précédentes, elles sont en réalité des tableaux indicés un peu semblables à aux tableaux dans de nombreux autres langages de programmation, mais en plus flexibles. Cela permet un accès rapide à un élément de la liste en connaissant sa position, son indice (temps d’accès indépendant de la taille de la liste).

Les principales caractéristiques des listes dans le langage Python sont :

  • collection d’objets arbitraires

  • mutable (objet modifiable)

  • séquence (itérable, accessible par indice et tranchage)

Pour créer un objet de type list, il existe quatre moyens :

  • l’agencement en extension (les éléments sont listés explicitement)

  • le constructeur d’instances de classe list()

  • l’agencement en compréhension

  • les expressions à base d’opérateurs et de fonctions (exemples : +, *, sorted())

8.2 Agencements en extension#

Syntaxe : [expression_1, expression_2 ... expression_n, ] (la dernière virgule est optionnelle) et [] est la liste vide de longueur égale à zéro.
Sémantique : en allant de gauche à droite, de l’expression_1 à l’experssion_n, les expressions sont évaluées et donnent respectivement les objets objet_1, objet_1objet_n. L’objet list résultant est la succession ordonnée des références aux objets objet_1, objet_1objet_n. Les éléments d’une liste ne sont pas obligatoirement tous du même type. Exemples :

[0, 1, 2, 9, 16]  # liste de 5 entiers
[1.0, 0.1, 0.01, 0.001]  # liste de 4 flottants 
["abc", "def", "ghi", ]  # liste de 3 chaines (ici avec la virgule finale)
[12, "Bonjour", None, True, 2.3e12] # liste de 5 éléments de types différents
[
    12, 
    "Bonjour", 
    None, 
    True, 
    2.3e12,
] # liste identique à la précédente, écrite sur plusieurs lignes

L’illustration graphique de ces quatre listes dans l’espace des objets de l’interpréteur Python est présentée ci-dessous.

data:image/png;base64,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

Les listes sont des collections qui pointent sur d’autres objets de l’espace des objets. Elles peuvent donc contenir d’autres listes. Exemple avec son illustration :

["Châtelet - Les Halles", ["RER", "A", "B", "D"], ["Métro", 1, 4, 11, 14]]
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

En tant que séquence d’objets, l’indiçage et le tranchage s’appliquent aux listes. Exemples :

li = ["a", ["b", "B", "β"], "c", "d"]
li[0]  # donne la chaine 'a' (l'élément d'indice 0)
li[2:4]  # donne la liste ['c', 'd'] (les éléments indicés par la tranche 2:4)
li[1]  # donne la liste ['b', 'B', 'β'] (l'élément d'indice 1)
li[1][0]  # donne la chaine 'b' (l'élément d'indice 0 de la liste li[1])
li[1][1:3]  # donne la liste ['B', 'β'] 
            # (les éléments indicés par la tranche 1:3 de la liste li[1])

8.3 ⚙️ Exercice - Agencements en extension#

Construire par agencement en extension la liste illustrée ci-dessous, et l’assigner au nom li

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QUhKCgIISGhiIiIgKvX79GVlYW1NXVYW1tjYYNG6Jhw4bo3bs3rK2tYW1tXeVXA1ZV1HBVnL6+PvT19dGqVatynxMIBHj79m2ZhiwqKgo3btzAmzdvkJWVBVVVVVhaWqJhw4awsrIq88fY2LhazAkk5HtCDRepEQQCAcLCwkqbq+fPnyMoKAjp6emoV68eHBwc0KRJE7Rr1w4NGzaEtbV1tZ9PxQcacZEOJSUlWFpawtLS8pOfT09Px5s3b0r/RERE4O7du3jz5g0yMzNLR9dsbGxgZ2eHJk2aoEmTJrCysoKiIv1aIIQLNIeLVDtCobB0d3V/f3+8ePECoaGhEIvFsLa2hoODA5o1awYHBwc4ODigfv36fJdcY/z888/Izc3F3r17+S6lxsrMzCxtxMLCwhASEoLg4GBER0dDSUkJtra2sLe3h729PZo2bQp7e3t680GIFFDDRb57+fn5uHfvHvz8/ODn5wd/f38UFxejWbNmaNmyZWmDZW9vD1VVVb7LrdFmzpyJ7Oxs7Nu3j+9SyEfy8/Px8uVLvHjxorQJCw4ORmpqKnR0dNC0aVM0b94cLVu2hIuLyydXZBJCPo8aLvLdEQqFePLkCW7evIkbN27g0aNH0NDQgKurK1q3bo02bdqgefPmUFdX57tU8pFffvkF7969w/79+/kuhVRQWloaXrx4gaCgIDx58gRPnjxBdHQ06tWrBxcXF7Rt2xbt27dHixYt6HEkIV9ADRf5LmRlZeHy5cvw8fHBlStXUFJSAldXV3Tp0gVdunSBk5MTTQL+DsyaNQsZGRk4cOAA36UQCaSlpZU2X/fu3cOjR48gLy+PNm3aoEOHDujUqRNatmzJ+2HphFQl1HCRKis1NRUnT56Ej48P7ty5AwMDA/Tt2xf9+vVDu3btaIfu79Ds2bORnp5ODVc1U1xcjCdPnuD27du4e/cu/Pz8oKamhm7duqFXr17o0aMH9PX1+S6TEF5Rw0WqlMLCQvj4+ODIkSO4evUqbGxs4OHhgb59+8LR0ZHv8oiEZs+ejbS0NBw8eJDvUgiHCgsLcefOHVy6dAmXL19GVFQUnJ2d4eHhAS8vL5ibm/NdIiEyRw0XqRKePn2K7du349SpU9DU1MSQIUMwYsQING3alO/SiBTNmTMHKSkpOHToEN+lEBmKiIjA33//jZMnT+Lx48do0aIFvLy84OnpCRMTE77LI0QmaNIL4Y1AIMCJEyfg6uqKVq1aIT8/H2fOnEFsbCzWrFlDzVY1RBuf1kwNGzbEzJkz8fDhQ8TGxmLo0KE4d+4czM3N0a1bN5w6dQolJSV8l0kIp6jhIjKXl5eHVatWwczMDDNmzEDnzp0RExOD48ePo2vXrjTRthqjhosYGxtjxowZuH//PsLCwuDo6IipU6fCxMQE8+bNQ2RkJN8lEsIJariIzBQUFGDdunWwsLDAgQMHsHLlSsTGxmLp0qUwNDTkuzwiA7TTPPkva2trrF69GnFxcdiyZQsCAwPRuHFjeHl54dmzZ3yXR4hUUcNFOCcQCLBlyxZYWVlhx44dWLduHUJCQvDjjz/SSsMaiEa4yMeUlZXh6emJ69evIywsDDo6OmjZsiVcXV1x4cIFvssjRCqo4SKcun//PpycnLBmzRosX74cYWFhGDFiBD02rKHokSL5GisrK+zcuRPh4eFwcHCAl5cXunbtihcvXvBdGiESoYaLcCIzMxMzZsxAly5d0LlzZ4SGhuKnn36inahrOGq4SEWZm5tj27ZtiIyMhImJCZo3b44JEyYgJSWF79IIqRRquIjUnTlzBg0bNsTz58/x9OlTbNq0CZqamnyXRaoAarjItzI0NMS+ffvw6NEjhIeHw9raGuvXr4dYLOa7NEK+CTVcRGqKioowZcoUjBgxAitXrsTt27dhZ2fHd1mkCqFJ86SynJyccPv2bezbtw/r1q1Dx44dERUVxXdZhFQYNVxEKl6/fo3WrVvj5s2bePToEcaPH0+/XMkn0QgXkYSHhwdCQ0NhZmaGJk2aYNOmTfSaIt8FariIxK5du4bmzZvDwcEBgYGBtGEp+Sx6pEikQVtbG4cOHcLevXuxdOlSDBw4EPn5+XyXRcgXUcPFgcLCQjx48IDvMmTi2LFj6Nu3L5YtW4YDBw6gVq1afJdUo+Xl5UEoFPJdxmdRw0WkafDgwQgKCkJsbCxcXV0RHx/Pd0mEfBY1XBxISUnB6NGjSz8+ffo0Fi9ezF9BHNm8eTPGjBmD/fv3Y8aMGXyXQwB4enri7t27AAChUIi1a9eiuLiY56r+RY+Zq6f/7qcXHx+Ps2fPyiy3kZER7t+/DxsbG7i4uODJkycyy03It6CGSwZsbGzg6ur6TV8zYMAAhIWFcVSR5JYsWYLffvsNFy5cwJAhQ/guh3xCcXExAgICUFhYWOGv8fPzw9GjRzmsiuZwVXcxMTG4fv36N33NsWPHEBoaWumcqqqqOHLkCEaNGoVOnTrh6tWrlY5FCFdoUyQZsLOz++bVegkJCVVqZOK/du/ejdWrV+PGjRto3bo13+WQz6hVqxb++uuvb/qa8PBw+Pv7Y9iwYZzURI8Uqz9XV9dvfoPp4+MDdXV1iVY1y8vLY8WKFahfvz4GDBiAy5cvo3379pWOR4i0UcMlA/fv38fbt28xdOhQAIBYLMbhw4fh6+uLwsJC2NvbY+bMmTAwMMCdO3dw7NgxxMTEYPny5ahTpw527NhRZR7FXLp0CdOmTcPx48ep2foOnDlzBh4eHqUfFxcX49y5c4iMjET9+vXRr18/1K1bFwBw6tQpBAQEIDIyEqdOnYKTkxMsLS2lWg81XNVfamoqwsPD0a5du9Jr7969w6VLl5CRkYHGjRuja9eukJeXR3JyMu7du4e4uDg8ePAAAoEAPXv2hIaGRqXzT58+HSKRCH369MGNGzfQokULafy1CJEYPVKUgVevXsHPz6/044ULF+LSpUv4448/sHv3bpiYmMDV1RUZGRmwtbXF+PHjoaenBw8Pjyq1vUJAQAAGDRqE9evXo3///nyXQyrgQ5MPABkZGWjRogWePXsGS0tLJCQkwNnZGf7+/gCAqKgopKWlIScnB1FRUcjJyZF6PdRwVX/BwcFYuXJl6cf+/v5o2bIlIiMjoaysjP3796Ndu3YoKChAQUEBoqKikJ+fj+TkZERFRUll0cfMmTMxbdo09OjRQ6JHlYRIE41w8eD48eO4e/cujIyMAABTp05FZGQkHj58CDc3N+jp6aFWrVqwsbFBs2bNeK72vezsbAwcOBCTJk3C5MmT+S6HVMKxY8fQpUsXrFq1qvSanZ0dFi9ejIsXL8Lb2xv79u2Dv78/vL29eayUVCfLli3DunXr0KdPHwDAxIkTMWrUKBw4cACTJ0+Gt7c3nj59igEDBsDd3V1qeZcvX46MjAx4eHggICCgdNQsKysL2traUstDSEXRCBcP7OzssGvXLpSUlJRe27BhA9zc3HisqqywsDDExsaWfjx9+nTUrVsXf/zxB49VEUmoqqoiKiqqzJEoffv2xc6dOznP3a5dOyxZsgSpqanIzc3F1q1b4eDggIyMDM5zE37JyckhNTW1zLVNmzZh8ODBnOfeuHEjNDQ0MHbsWABAQUEBWrRogdzcXM5zE/Ixarh4cOjQIeTk5MDJyQlDhgzB2bNnUVRUxHdZZfj6+mLAgAHIzs7G+fPncfr0aRw9ehRKSkp8l0YqaeTIkdDX14eDgwPmz5+PgIAAKCkplY60csnBwQGLFy/Gzp07cefOHUybNg316tVDnTp1OM9N+LV69Wps27YNffr0wd69e5GRkQEtLS3o6upynltFRQUnTpzAlStXsHjxYnTt2hXJyclISkriPDchH6OGiwc6OjrYuHEjgoODMXv2bNy+fRtOTk5IT0/nu7RSKSkpePr0KVxcXDB06FD8/PPPEIvF9M7wO6asrIzdu3fjwYMHcHJywsaNG2Fvb4+goCDOc8+aNQv6+voQCoUQCoWQk5ND7969Oc9L+NeoUSM8ffoUq1atQnp6Onr27Ilhw4Z903YllXXixAmMGzcOBgYGWLp0KR4+fIj8/Pwyo/eEyAo1XDKWl5dXujGfnJwcnJ2dsXnzZrRs2RInTpzgubp/5eXlAXh/RmJhYSHWr1+P3r17l14n3y9NTU14enriyJEjWLhwIaZOncp5TnNz8zJL/i0sLDBmzBjO85Kqw9bWFt7e3nj8+DHEYjE2bdrEeU5PT08YGBggKiqqdLEGY6xK73FIqi9quGSMMYbevXsjMTGxzPXMzMwyj1c0NDSQnZ0t6/JKFRQUlPnY3Nwc165dg4GBAU8VEUm5u7vj9OnTZa41bty4zBl0KioqnO3/1qNHj9IVt46OjhIt/SffB4FAAF1d3TIrXuXk5NC8eXNkZWWVXlNSUoJAIJB6fnl5eRw5cgRDhw6FsrJy6fWYmBip5yLka2iVooxpampi+/bt6Nq1K7p06YI6derg1q1bMDAwwMCBA0vv69OnD6ZPn44ePXpg9uzZ0NPTk2md/224bG1t4ePjAysrK5nWQKRr4cKF8PLyQkJCAhwcHJCQkICVK1di/vz5pfc4Ojpi7ty5OH/+PKytrWFrayu1/JMnT8aqVauQlZWF4cOHSy0uqbqUlJQwa9YsuLm5wdvbG/r6+nj+/Dm2bt2Kv//+u/S+pk2b4tChQzA0NIStrS10dHSkVoOcnBz2798PTU1N7NixAwKBgBZrEF4oLK6Oh/zxTF1dHd26dYO+vj4AwMTEBC1btoSWlhaA96sUR4wYAR0dHejq6uKnn37ChAkTIC//74Bjq1at0KxZM+jp6cHGxgaKirLtjTdt2oT4+HiYm5vDx8cHjRo1kml+UjnKyspo0qRJ6bJ3NTU1tGnTBgBgaGiIIUOGICQkBA8fPkRxcTEWLlyIrl27ln69np4erK2tcevWLejp6Um1yVZWVi49cmXr1q1lXu/k+/bf15mCggL09fVLHyG3b98e1tbWuHbtGu7cuQNlZWVs3ry5zGvL2dkZb9++xe3bt+Ho6MjJYoqePXvi3bt3ePLkCXR0dDBy5Eip5yDkS+QY7UJIPsHZ2RlxcXG4du1aldkLjHz/zp8/j3PnzuHgwYN8l0JqqHnz5uH27dt49OgR36WQGoYaLinrdWsqBGLJd0rm2+PHj2FrawtNTU2+S6mQNnoOWNJ0Et9l8OZCwh34pXK/2lBijEFQJICSmvLX7/1OLLAfA02lWnyXwYvdb84is4S/uaaVFfM0AmZODfkuo9L0VXQx2rIf32WQb0RzuKTsn2R/FItLvn5jVWcKPM5/CeR//daqQENJne8SeHUz+Qk2vTrGdxk10s+Nh9XYhmtd2GGE58TwXca3kwPw7DLfVVSag441NVzfIWq4ONBAXR/TGg3hu4waIU9YgOXBu/kuo8roZ9wReircbyhJgBtJjxCTn/j1G6s5FQVlDDTp+vUbiVSciLnGdwmkkqjhIqQaMVavDyP1enyXUSM8SnvBdwlVgoKcPJpof7+P5743p+Su810CqSRquDhWV1UbZpoNJI4TmROHd8X/7mWjICcPx7o2EsfNLM5GVE58mWsNtUyhpSzZHkkMQGBaaJlrdVV1YKZpKFFcoPz3gnyagboe/n/bq0orFgmQUZRV5pq2iibUFVUlCwwguSADYvbvuY6qCirQVa0tcdys4jwUCMvuYs7V94KUpSSvCG1lyed95gkLUSgse9xZHVVtyEOy/xMFTIis4rKnZWgoqUNNQUWiuMD7n6Wi/7yeufxekO8TNVwcq6OqDSc96TRG/20y5OXkpRI3Oif+Ew2XCYw0JB8lKd9wSed7kfHR94J8Wm/TdpCXk2zrhcT8NPwde6fMNae6NrDSMpEoLgAcCvdFkejf+Y4G6nXQzbiNxHHvJT1F2LuoMtfczNpDTsJf1gn5qbgYe1eiGNWdnpoO3Ew7SBznSWownqeHl7nmZtoeKgqSLbZIK8zEueh/ylxzrNsYNjoWEsUFgOMRl5Ar+Hf/Qn21Ouht2k7iuI9SgvEiI/zrN5IqjxoungiFQlw8dwEBjwMAAC1atUAvdzep7rclFovx4K6keYUTAAAgAElEQVQfXDtK/o8eAF6FhuHi+b+RmZGJevXroXf/PrBsaClxXJFIBN/T5/HU/yk0NDVg28QOP/TuDhUVyd91kvIEAgGePglEakoqTM1N0aRZ09Id4KWFMYaiwkKoqUtnMUNsdCxehYZBRUUZDs6O0NGVzsaYxcXFeB7wDO8y38HK2goWDS1pfzCOFBUWIvh5MAQCARrZNkadutLfa0soFEJBQUFqr+eoN1GIfxsHPX09NLJtLLXXRmFBAUKCQqCoqACLhlbQ0taSSlxStVHDxYOsd1nw6O6OZ/6BaGBsBDk5OWxbtxlOLs44feU8tHW0JYofExWD4weO4NiBo8jJzkZstuQTe5cvWIKN/1sPFVVVGBoZ4m10LJb9uhh/bPgfxk+bWOm4SQmJGOzmieDnL2BkYgyxWIzE+ARY2zSCz82/Uc+gvsS1k3/dv30PE4aPRVLCv6+JJs2aYv+pw7CwkvxdfmJ8Ao4dOIpj+w9j/tLf4DlskETxMjMyMXX0RFy58O+KMhUVFUyZNQ0Lli+S6BfrlQuXMWfKL0iI+3eEt2Fja+w5vh9NmjWVqG5S1sFd+7FozgLk5rx/nKegoIBRE37Cio2roKSkJHH8iFevcXT/Yfx16DgehDyBbh3JFo68DA7FlFETEfT0eek1EzMTbNy1BR27dZYo9o5N27Fy0fLS74W8vDw8hnhi467NUnuDQqomeivHg4Wzf0VQ4DMc8z2J4LdheBH7Ekd9TuB5wDMsmrOg0nHj38ahX+fecLZqis2rNyLr3Tup1Ot7+jzWr1iLwT8OQVRGLPzDnyEoJhQ29rZYMHMeIl69rnTsaWOmIPzlK5y+cg4vYl8iJO4VDpw6jIhXr7HYe5FU6ifvJcTFY2hfL+jo6uDvO1cQlhiBw+eOIzkpGYPdBkp0huKVC5fh2XMAHMzssGLhMsRExUhcL2MMw90H4/aN21izbT2eR4fi9tP7aNe5A9avWIu92yu/OjXgkT9G9B8CPX09XLp3DS8TXuPgmaPISEvH0L6DUFxEc2ak5ZLPRcycMB3tOrXH9Ue3cP/FI/w87xfs+3MPFs9dWOm4AoEAR/cdRk/Xbmhp44zNqzciNTlF4npTk1Pg3sUNaalp2PvXATwM9ce+EwchEAgxtN9gREZEVjr2od0H8OvP3uj0Qxdcf3QL94IeYtqcGTh19ATmzZgrce2kaqOGS8by8/Jx+uhJ9HZ3Q48+PUuv9+zbC73d3XDq6EkU5Bd8IcLnxb+NR3ZWNlZuWo3QhNdwauEslZoP7z0EZWVlrNqyDiqq7ydL1zc0wNzf50MkEuHaxSuVipuWmoZ/rt5AL3c3dO7+77LyvgPdYe/QBP9cvSGV+sl7e7btQn5ePrYd2IE27duinkF99HZ3w5LVy/AmPAKXzv/99SCfsezXxYh/G4ff/7cEKzetlkq9D+89wKP7DzHp58kYM3kcTMxM0NTRAftOHIRmbU0c3lP53er379gLkUiE3cf2oZVra9Q3NECfAX0xZdZ0JMTF48FdP6n8HQiw7o810K9fD3uO74dzy+awbWKHBcsXwW1AX+z7cw/eZVbujWFaSiqmjZkMkUiEDTs3o4+HdPal2vfnHqSnpWPb/j/Rf5AHGtk2hrvXAKz7cyOKCgvhe/p8pWOvWrISJmYm2H1sH5xbNoddU3v8/r+laNm2FU4dPcnJAd6k6qBHijIWEhSM4uJiNGvuVO5zWjraKC4qwsvgUDRv1eKbY7u0aYnbT+9Lo8wyOv/QGW07uKKWRtnNHfXrvT8rsrKHFejW0UVUZhxUVcvP1VJRVaEfPlJ2//Y91NXXg4NT2aOaPszx87tzH/0HeVQq9sHTR2DV6P3WAOdOnJGs0P+XlpKKZs6O6NKjW5nrGpoaMLMwR0Z65Q8gHvbTCHR36wFL67JnRZqYvV8MkJ6WXunY5F852TkICnyGgUO9oKqmVuZzXbp3xYUzPnjy4DG6u/X45tg6ujp49DIA1jbvz3kNePREKjXn5eWjmbMjWrUru4DDqcX7n9mx0TGVissYw9xF82BkYlTuMaqFlSUe+z1CTnYOJ3PbSNVADZeMZWZkAgD09PVKr+Xm5GL62CnwOXUOQOV/2HM12XfSzKmfvH7j8vsN+Nq0d61UXAUFhU/OV/N/+ARBgc/hNWJwpeKST0tOTIaBoUGZa2/CIzBy4HAAKDOv61t9aLakqZ9nf/Tz7F/uel5uHqIjo9C2Q+VedwDQpn3bT16/de0m5OXlpTY6XNMlJyZBLBbDoEHZ192tazex7NfFAN7P+6sMNXX10mZLmpavW/HJ62GhYQCARraNKxVXTk4OI8ePLne9uLgYTx4+hrGpicRzz0jVRg2XjAmF789Z/DDZ92VwKEYOHI7CgkKMGDsSh/ccLL2nKnsdFo6t67agW6/ucHKR/JfTtYtXcfefO4iKeIObV26gbcd2WLlROo+myHslxcVQVPr3n/z5k2cxfewUNGnWFAoKCigu/j6OpFq7fBXycvMwccZkiWPl5ebh5pXrKCgowPVL1+Bz6hx+Xbaw3MgXqZyi/58Lp6z8fjsHsViMNUv/hzXLVqFZc0dkpGegqLDwSyGqBJFIhJWLlqO2Vm0M/nGoxPES4uLxJjwCKckpOLBzH+Jj43DU5y+prxYmVQs1XDw6fvAoZk/+BS3btsKuo3txxfeSRPNSZCUzIxPD+g1Cba3a2Lxnq1RiRr6OwN2bt5EYnwChUAgDQ4PvovH8HpWUlGDR7AXYvXUnps2Zgd/++B0N1PX5LqtC/j53AVvXbsaP40ahQ9dOEsdLSUrGaK8fSz9u3a4Nhv80QuK4pLyM9AyMHzYGj+4/xOa929HAuAH6d+3Dd1kVsmTe73jy4DH+PLRLKluS/H3uAub/Z5L8DO+ZaN+lo8RxSdVGDZeMfXgHs2n1BkRFRGLOQm/MWTSvzOPAqvwup7CgAEP6eCI5KRm+ty5JbduGSTOnYtLMqWCM4fzJs5gwfCxSklNw+so5qcQn773LyETv9t0R+foNjpz/Cz379uK7pAoLeOSPCcPHopVra6zaslYqMc0szRGVGYec7Bw8vOeHRbMX4IfWXfBPwF2aSyNFQU+fo6OTK1TVVHHt4U3YNbXHnZu3+S6rQvb9uQdb127C5F+mYdAI6ZyRO2TkMHR364mMtHSc/es0Nq3agOTEZPx5aJdU4pOqiRouGVNTe7/KLyvzHU5dPotOP3Qp/VxBwfvVibVqVc29WIRCIX4aNBJBgc/x19+n4PiJif+SkpOTQ/9BHrhw1hfnT55FWkoq9Op9H6MvVZ2SsjKiI6Ohpa2NW4H3YWpuCuD9Yx6xWAwVFcl28eZSxKvXGOw2EBZWFjhy/i+pbYr7YR6hto42TMxMoKSkhLFDRuPU0RNSeWRZ0314lHjt4lX0HeiOLXu3Q7P2++NuxCLR+3uq8AbHF874wHvabAwc6oWla5ZLLW5trdqorVUbZhZmcG7ZHKkpqThx+DhmL/SWymbSpGqibSFkzMzCHAAwdPTwMs0W8H5bBwAwMTeTcVVfxxjDzAnTcePydew6ulfizf+A97s4z5wwHdcvXS33uQ+Tu7OzsiXOQ96rZ1AfWtpauOx3vbTZAt5PbBaJRKj/0YT6qiI5MQkDe/SHlrYWTl85J/HGwABw88r1T77uHJwdAQBvo2MlzkFQ+mapu1sPHDh1uLTZAoDEhCQAgH79qnnYut+d+xg/fCw6d++KbQd2SLwoqaiwEHdu3PrkvoUfVqVHv6n8Hl+k6qOGS8YsGlrCsqEl/j7rW2ayqEAgwNW/L8PS2grmluY8VvhpKxYuw7H9R7B2+wb0HegulZgaGrVweM9BbN+wrczWEiKRCPdu3YVmbU2Y/KcxIJJp28EV2VnZiPpo40b/h++X07duJ/k5htKWnZUNz54DUFJSgtNXfaT2CHvz6o340WN46W7fH4S/fAUAMDY1lkqemq5O3TqwtmmEiFevIfr/Ea0PnvkHQkFBAS6tXXiq7vNeBodiuPtgNHNuhgOnDkllN3yhUATPngM+ucFp9Jv3Z38aNDCUOA+puuiRoozJycnh91XLMNJjGDy6u2P0xDFgjOHQ7gN4Ex6Bg2eOVrk5XMcOHMW6P9agkW1jZL3LwqZVG8rdM2rCT998Hph+/Xr4adJY7Nm2C8PdB8PdawAA4MThvxASFIxla/8ofSRBJDd2ynjs+3M3Jgwfi027t8CioRUCH/tjwS/zYWFlgT4D+vJdYhnFRUUY7j4Y4S9fYcOuLcjOysLzwGdl7tGvpw9DowbfHHvk+NG4d+suRg4cjiWrl6GBsRGCn7/AgpneqK1VGx5DPKX116jxps6ajuljp2Du1FlYsHwR1NXVcO7kWRzZewgDBg+scsd3xcW+xcAe/VFLQwP/27wGKcmp5e6pb1Cv3L5iX6OhqYG+A91x9q/TWPfHGoyZPA6qqiq4eP5vHNx9oHRTWFJ9UcPFA7f+fXDg9BEsX7AE44eNAfB+H6MDpw7Drb/0Vu3U0qgFLW3JH7+EvgiBto42UpKSsWnV+k/e4+41oFIHsK7ctBqNbBtj+/otmDhiHOTl5WFpbYVNu7dixNiRkpZO/sPEzARHz/+FiT+ORxeXjqXXG9vZ4NCZo6WnCFQV4WHh8LvzfiPfaT9N+uQ90+bMwJLV3z63ZsDggXiX+Q4rFi5DB8d/9+QytzTHyUtnq+xjru/RsJ9GIDoyCptXb8T+HXtLr3fp0Q1rt5d/88a308dOITnx/ePOTs7tPnnPuRsX0KESqwo37NwMOTk5rFi4DH/8trT0eovWLjhw6nCVe7NNpIsaLp70GdAXfQb0RX5ePgCU28VdGo75npRKnD/Wr8Qf61dKJdbHFBQUMGbyOIyZPA7FRUWQk5enUS0OdejaCc+jQxD4OABpKakwMTOBg7OjVDfN7fTD+1V+puZmEsVp2Kgh/gm4+8V79CVYUDFm8jgM/nEowkJeIiU5BWYWZmhsZwMFBYVKxyTlycnJYeGKxRg9cQz8Hz5BcXExbOxty514IKk5i+ZjzJTxqK1VW6I4w0YPR6cfvjxH1cq6chv9atbWxO5j+7Bg+SKEBAVDKBCgYWNr2DW1r1Q88n2hhotnXDRaHxMKhSjIL5D4BxHXqtoIS3WloqLy2Z3WpUFbRxvN/n/yuSTU1NWlEudLamnUqtQxWuTbGZkYw8iEu7lxJmYmpUczSUK/fj3ORzjNLMxgZmHGaQ5S9VDDxbGY3ASkR2V98Z60uBRc3XUOw5dN/Ow9uSX5ZT4WikU4E1Wxw51f3g/CzulrsTHgEOTkyw5ZF4vKn1d4LykQygpfH2Uqyi/E7SOX0WWkG5RUy97PUP58xejcBKRFVeyg2qQ38UiJSUSzruUn1H78vSCf9ijlBeTkyo9ciYQiJMcmwsCsAeQVvjyylSco/72OyH6LtKIvv6a3z1sHz+kjoGf4+REogbjsJOqM4mw8THnxxbgVkVJQ/ozFR8kvAAkf13zqe0HKyikpQGBaaIXvLykugfIntiNJKih/vNmz9HAoVWAktiA3HxcOnEX/8YPKxc4TlN/VPjY3CQXCiu92nxiTgNrataGhrVnm+sc/S3NKcr/pe/HBwyv3YNW0Uem/nZSCtG+OQaomarg4ViwSoFj05V9OsbExeHzhLnouqPjZgQwMGV/5pffB8/v+MG9ujcySim2xkCsoAAQFX70vJSoBZ9ccgfPwjpAv+voPwmJRCYpFFTs+5tmDAAT6+MHY1bpC95PyQjLffPJ6WnQy1rnNx7LAneUa5YqIy0tGXF7yZz9fnF+EiwfOwm5IK+iqVOw1CgA5JfkIzii/ZP6/VnT+BQOXjoa1a5MKxwWA4MyIL34+JSIBu0b/D7/d20zzaCSQJ8hHYFpYhe5Nj0nG2t7zsdR/B5TVv74X14uM8ArFLcjOx55l26DfyRK16319V/i3eUl4m5dUodgAsGXUYjQf0A6th3T54n25goIKfy/+a//mPbDp4ID2P/X85q8lVRttC1EFpEYmoq4Jd0PYkU9ewaJF5Q5c/ZK8dzlQq63+1VGSypCTlwMTi6UelwDZKZlQ19aoVLNVEVlJGZCTk0NtfcmPQPmYgoI8RELR12/8Rioaqsh/l4eS/CKpxyafpm1QB3JycshKKj8iKQlVDTXIycmhKI+bMxqtWtsh4sG3j1xVVMM2dnjtF8JZfMIfGuHiQFJhGpa+2Fnh+4uOhkDBUfubvqaiWGoxCoOjkDZKEzdfREk1tuh5BgS1xJzULUxIhTA/9auxmVz5R5c1mU/cbagofHnPoNzgeIh05LHnzVlOaigISoN8bSUceOsr/dhqQlwOuw0/I+m+lplADDlleey5dxwqDSu2sje5ULqNwveqWCTA0ehLlfpaBR0VnH16GZry0t10V05FAT7hN6EuL/3jmfIs8hF7PASHwy9AXln6CyyK7QsRuf0V9tw4CjXL8m9ahGLpv+EgskENl5Q56TZGibj8vKjPSb8WhfjkEtgOdIFibekfcRF/8hmUmtVDw0Y2Uo+dWliCrDqasNaS/katGbUYUuWyYFPB2JYaRlKv4XsUV/D5R32lElMALeBNbhw3ReTlAPKMm/h6ckiNTUJqLgeP/SzVERcYCdSno6S+hYiJEJz15Ue2n1VHATExMYBVnlRrgrYCIt9GAQaZ0o0LAMYMqCWH0CsBQHtd6cdXB+Cqgzd7HgPedMxPdSLH/rvFN5Gphw8folu3bti1axeGDh0q9fj5+fkwNjbGgQMH0Lev9De1HDt2LFRUVLBt2zapxz5z5gzmzZuHiIhK/iCvYQqERSgWV2x+3JwZsyAQCLBx+2ZOavnn+k1MGTsZYbEVm3PzLbZu2IwrF6/g7xuVG1H5ki3rN+H0X6dw58n9b/o6LSUNyH9icUJNEFeQDIFYWOmv//mnqTBoYAjvZb9KsSpg7MBRcGzpjClzpkk17gfb1mzBFZ9LuHD/MifxkxOS0Lv1D5g4awrGzSi/mEpZXglG6rRX3PeGRrh4cvfuXfTr1w+zZ8/mpNkCgFWrVqFevXro3bs3J/FDQkLw448/chJbV1cXmZkcvDutptQVVaGOim2rEfo8BMOHD4eOMjfbhGir1oZIKOQkfu9uvfDH78shX8igpfXtG+1+yZRxk/G/pSsR9OApOnbsKNXY1ZWxumS7xNtb2SIqKgoWUh6hdrBpgozYFKnH/WDu5F/w55otiPALRffu3aUe36KREU6fOo3evXujlX0L9OvXT+o5iOzVzLdlPGKMYefOnejevTvmzJmDxYsXc5InMjISa9aswYYNGzjZyFEsFiM0NBT29txs2Kerq4usrCyIaeK8VAkEAgQFBaFFC+72njI0NERGRgYKC6U/adnJyQlmZmY4deqU1GPXqVMHEydOxC+//FLu3D/CDVNT0/ePFKXM3t4ez549+/qNlVSvXj3Mnj0bM2fOhEBQ8Skk36JLly7Ytm0bBg0ahN27d3OSg8gYIzKTlJTEevXqxXR1ddnp06c5yyMWi1mvXr2Yh4cHZzn8/f2ZsrIyy83N5SR+QkICA8BSU1M5iV9Tffj/raioiLMc+fn5DAB7/fo1J/H/+OMP5uDgwMRisdRj5+TksAYNGrDVq1dLPTYp7/r160xXV1fqcV+9esXk5eVZRkaG1GN/kJeXxxo0aMA2btzIWQ7GGPPx8WG1atViU6dOZXl5eZzmItyiES4ZOXHiBJo0aQKxWIzg4GB4eHhwlmvz5s14/PgxNm7cyFmOmzdvolWrVtDQ0OAkfv369aGqqsrJu9+a7PHjx3BwcICKivQXaHygrq6OBg0aIDSUm6XzkyZNQnR0NHx9pb8KUlNTE/v27cPChQtx69YtqccnZTk5OeHdu3dS/3feqFEj6Ovrw8/PT6px/6tWrVrYunUr5s+fj+DgYM7y9O3bF/fu3cPdu3fRtGlT/PPPP5zlItyihotjgYGB6NChA8aPH4+lS5fi0qVLMDQ05CxfQEAAvL29sXfvXhgZcbdy7+bNm+jS5csb/0lCXl4epqamiIqS7vL/ms7Hx4eTOScfa926NWe/7HR0dDB79mzMmTMHxcXFUo//ww8/YMmSJfD09MSLF5LvfE8+T1dXF6ampggICJB67K5du+LChQtSj/tf7u7uGD16NAYPHoz8fO5OInB0dIS/vz9GjBiBXr16oVevXggMDOQsH+EGNVwcSUxMxIQJE9C6dWuYmpoiPDwckyZN4nQX6+TkZHh6emLatGmcTrLMysrC3bt30bMntzshW1hYIDIyktMcNUl6ejpu3boFT09PznO1bdsW9+9/22q/bzFnzhyIxWLO5kB6e3tj+PDh6Nq1K0JCaBNKLjk7O3PSPHh5eeH06dMoKanY6t3KWrduHVRVVTFo0CAIhZVfsfk1ysrKWLx4MV6/fg1DQ0O0bt0abm5uuHr1KhhtNvBdoIZLytLS0jB37lw0bNgQ0dHRCAwMxKFDh1C/vmSreb6moKAA7u7usLGxwcqVKznNdfbsWTRo0ADNmzfnNI+dnR2nQ/U1zdmzZ2FhYYGmTZtynqtXr1548uQJkpIqfmTKt1BVVcWxY8ewYcMG+Pj4cJJjw4YNGDRoENq3b0+PFznEVcP1YST36tWrUo/9X6qqqrhy5Qpev36N0aNHc978mJiYYM+ePQgNDYWZmRk8PT3RqFEjrF27FgkJCZzmJhLiexJZdZGens7mzZvHNDQ0WOvWrdm1a9dklrukpIT17NmTNW/enLNJ7P/VvXt3Nn/+fM7zHD16lFlbW3Oep6Zo3bo1W7hwoczy2drash07dnCaY/369UxHR4dFR0dzlmPVqlVMVVWV7dq1i7McNdnVq1eZjo4OJ4sgfv75Z9alSxepx/2U169fM319fTZu3DgmFAplkpMxxrKzs9mWLVuYs7Mzk5eXZx07dmQ7d+5kcXFxMquBVAw1XBJKT09nCxYsYJqamszFxYVdunRJpvmFQiHz8vJiVlZWLDk5mfN8sbGxTFFRkYWEhHCe6+XLl0xeXp5lZ2dznqu6u3PnDlNRUWGJiYkyy/n777+zDh06cJpDLBazAQMGsObNm7OcnBzO8pw9e5ZpaWmx4cOHy+RNTU2SkZHB5OXlWVhYmNRjx8TEMEVFRRYYGCj12J8SFhbGjI2Nmbu7OyssLJRJzo/zL1q0iNnY2DAArEmTJmz27Nnsxo0bnK5MJhVDDVclJScnszlz5jANDQ3WokULduHCBZnXIBKJ2PDhw5mJiQmLioqSSc558+Zx/kv0A5FIxLS1tdnVq1dlkq8669WrF5s4caJMc0ZHR3P2i/S/8vPzmaurK2vTpg2ny+ZjYmJYy5YtmYWFhUxHsGuCVq1asbVr13ISe9iwYczNzY2T2J8SGxvLGjVqxNq1a8eSkpJklvdjMTExbOfOnax///6sdu3arFatWszNzY1t3bqVBQcHM5FIxFttNRU1XN8oOTmZeXt7M3V1ddamTRvm6+vLyVD41wiFQjZy5EhmbGwss2arqKiI6enpsRMnTsgkH2OM9e3bl/36668yy1cdPXr0iCkpKbGIiAiZ5+7atSubM2cO53mysrKYo6Mj69atG6fv5EtKStj//vc/pqKiwjw9PVlaWhpnuWqS5cuXs06dOnES++3bt0xdXZ1dvnyZk/ifkpGRwXr27MkaNGjAHjx4ILO8n1NSUsJu377N5s+fz5ycnJiCggLT0tJiPXr0YEuWLGHXr1/ndISYvEcNVwXFxMSw6dOnM1VVVda2bVvm6+vLWy0CgYANGTKEmZiYyPSX6K5du5ixsTErKSmRWc7169ez1q1byyxfdSMSiZiLiwv7+eefecl/5swZpqOjw/Lz8znPlZyczKytrVmfPn1YQUEBp7kiIiJYp06dmL6+Pjt48CCnuWqC58+fM0VFRZaZmclJ/N9++401atRIJq/DD0QiEfvtt9+YsrIyW7ZsGRMIBDLL/TU5OTns+vXrbMmSJaxHjx5MS0uLKSgoMAcHBzZ58mR24MABFhISItO5aDUBNVxfERUVxaZPn85UVFRY27Zt2c2bN3mtp7i4mHl4eDBTU1P25s0bmeUVCoWsYcOGnO+q/LEXL14wRUVFlp6eLtO81cWWLVuYoaEhb/PghEIhMzc3Z3v27JFJvqSkJObg4MBatWrF+WtGJBKxbdu2sdq1a7POnTuzgIAATvNVd6ampuz48eOcxC4qKmJNmzZlU6ZM4ST+l9y4cYMZGxuzVq1asfDwcJnnrwiRSMSCg4PZrl272KhRo5itrS1TUFBgGhoarF27dmzmzJns6NGjLDw8nJcnOtUFNVyfERoayoYOHcoUFRWZu7s78/f357skVlRUxPr168esra1lvgLl+PHjrG7durwcLWFubs4OHTok87zfu1evXjENDQ128uRJXuv43//+x+zt7WWW7927d8zV1ZXZ2dmx+Ph4zvMlJiaycePGMSUlJTZ06FBOV0xWZ9OnT2d9+/blLP7z58+ZqqoqO3PmDGc5Pufdu3dsxIgRTFVVlS1atIjzEVhpyM3NZffu3WMbN25kI0aMYLa2tkxeXp5pamqytm3bsunTp7ODBw+ykJAQasIqiBquj7x69aq00fLy8mJBQUF8l8QYez8xuFu3bszGxoYlJCTINLdQKGQ2NjZs+fLlMs37wfTp09nAgQN5yf29KioqYo6Ojmz06NF8l8IyMzOZuro6u3v3rsxy5ufnMzc3N2ZqasqeP38uk5xhYWHM09OTKSsrs/Hjx7OUlBSZ5K0uXr58yRQUFFhkZCRnOfbs2cNq1aols1WLH7t+/TqztrZmlpaW7Pz587zUIImcnJxyTZicnBzT0tIq14SR8qjh+n8xMTFs/PjxTElJibm5ubGnT5/yXVKp7Oxs1q5dO+bo6MjLJN1Dhw6xunXr8jap8vbt26xWrVq0HP8bTJgwgTVu3LjKHHY7ZswY5unpKdOcQqGQeXt7M2g6ofgAACAASURBVA0NDZmOajx48IC1bduWaWpqMm9vb04PUK5uunbtymbPns1pjjlz5jBDQ0PODlf/mqKiIrZ8+XKmqanJ2rdvzx4/fsxLHdKSnp7Orly5wpYvX87c3d2ZkZERA8Dq16/P+vfvz9auXcv8/PxoWwpGDReLjY1lY8aMYUpKSqxv377s2bNnfJdURlZWFmvVqhVzcXHhbELplwiFQtaoUSO2Zs0amef+QCwWMzMzM3qsWEEbN25kWlpaVepdZmBgIFNSUuJlmfzu3buZiooK8/b2ltmjD7FYzM6dO8ccHR1Z7dq12W+//UaNVwWcP3+e6ejocPpGQSQSsdGjRzMjIyNeVu5+kJyczCZOnMiUlJSqzLQVaUlKSmK+vr5s3rx5rH379kxNTY2pqKiwNm3asFmzZrGzZ8/yumUGX2psw5WVlcXmzZvHVFVVWc+ePavki/3du3esZcuWrE2bNrxNet6zZw+rX7++TFf3fIq3tzfr3r07rzV8Dy5dusSUlZV52Rfua5o3b85WrFjBS+779+8zfX195uXlJdPXslgsZj4+PszJyYlpamqyX3/9lRaAfIFQKGSNGzdmv//+O6d5RCIRGzVqFDMwMOB9sUN4eDgbNWoUU1JSYt27d2d37tzhtR4ulJSUsMePH7MNGzYwT09P1qBBAwaAWVtbsylTpjBfX98a8QSjxjVcAoGA7dy5k9WrV4/Z2tqyixcv8l3SJ2VkZDAnJyfWrl073h7llZSUMHNzc7Z582Ze8v9XaGgoU1BQqJHviioqJCSEaWlpsa1bt/Jdyift3r2bmZub8zbB9u3bt8zR0ZE1a9aMxcbGyjS3WCxmvr6+rHnz5kxDQ4PNnDlTJhP6v0fXr19nampqnO8vKBaL2dy5c5mGhgY7d+4cp7kq4sPWQ2pqaqVbD1XnyeixsbHswIEDbOjQoUxfX58pKSmxDh06sBUrVrCAgIBquTFrjWq4rl+/zuzt7VmDBg3Yzp07q+weI9nZ2czFxYW1b9+e1zk427dvZ8bGxlXm2buDgwPbsGED32VUSYmJiczY2JjNmDGD71I+Kycnh6mrq7N79+7xWkOfPn2YoaEhb6Pa9+7dY25ubkxZWZmNGDGC8534v0fu7u6sX79+Msm1Y8cOpqqqyqZOncrLcTwfS0xMZLNnz2YaGhqsWbNmbPfu3bw/YeCaSCRigYGBbOXKlaxTp05MWVmZ6enpsSFDhrCTJ09WmbmokqoRDVdUVBTr0aMHq1WrFvP29q7SO+oWFBSwjh07MhcXF17rLCkpYWZmZmz79u281fCxNWvWMGdnZ77LqHLy8/NZixYtWO/evavsm4gPvLy8ZH7E0MdEIhGbO3cuU1dXZ3/99Rdvdfj5+TE3NzemqKjIBg0aJLPVlN+D6OhopqWlxbZt2yaTfCEhIaxJkybM1ta2yqxMT09PZytXrmRmZmZMR0eH/fLLL7zOOZOl3NxcduHCBTZ58mRmaGjI1NXVmYeHBzt+/Ph33XxW64ZLIBCwjRs3Mg0NDebm5sbevn3Ld0lfVFxczHr06MGaNm3K+wTbnTt3MgMDgyrxju+DpKQkpqioSL+Y/kMsFrPBgwczOzs7lpWVxXc5X+Xr68t0dXVlelrB5xw/fpypqakxb29vXh9fBAUFsSFDhjBFRUXWq1cvXkcAqxJfX1+mrKwsszlN+fn5bPz48UxNTY1t2rSpyrx5EQqFzMfHh/3www9MQUGB9ejRg124cKFaPnL7FJFIxO7du8dmzJjBGjRowGrXrs3Gjx/PHj58yHdp36zaNlx+fn6ljw/52OjuW4nFYjZs2DBmbW3NkpOTea3lw9ytLVu28FrHp/Tu3ZvNnDmT7zKqjAULFjADA4Mq/2big6KiIqapqclu3brFdyns/9o777Amsq+PfyGE0DuCFEUQkS5NWSxYV0VddVUsiBVXRUFd1+7a1q6roGJdVNayCgp2Uex97RQrVYqggPSShOS+f/CSn5GWkIRJXD7P4/M4M3dmvkNm7py559xzCKnuJ2qC6an+uEhNTf1PxfAIwooVK0irVq1IfHx8s53z9OnTxMjIiDg6OkpdAHtiYiJZtGgR0dXVJUZGRmTRokXNWnGEajgcDomOjibe3t6EwWAQGxsbsnv3bpkZ9fruDK6SkhIyffp0oqioSBYsWCAzvt9ly5YRPT09ynLDfE3NzERpzIZ86tQpoqurKzVxZVRy7tw5wmAwZO5Lb9iwYRLPtSQMaWlpxNbWlnTv3p2S1CvfkpWVRebPn0/U1NSIk5MTiYiI+M+MZnwLl8slc+bMIdra2s0ac1daWkpWrlxJGAwGGTx4cLNPsmiMiooKEh4eTvr27UtoNBrp2rUr2bdvn8y878RBfn4+2b59O2nXrh3R1dUlS5cuJR8/fqRaVoN8VwbX06dPiaWlJXF2dpYpt1NoaChRVlaWiqryNTUTpTU4nclkEn19fZkYtZQkycnJREtLS2pnJDbEgQMHiLW1NdUy+CgoKCCenp7ExsZGal6u+fn5ZNWqVURbW5vY2dmR8PDw/6ThxeVyybx584impia5fPlys5777du3vPjfJUuWUB7qUReJiYlk6dKlxNjYmGhpaRF/f3/KU100JxwOh5w7d4707duXV+WBai9RfXwXBheXyyVBQUGEwWCQwMBAmRr9uHnzJmEwGCQyMpJqKYQQQo4dO0YMDAykeoh27ty5ZPDgwVTLoAwOh0O6detGxowZQ7WUJpGenk4ASN3XaEVFBRk5ciQxMTEhr169oloOj5KSErJx40aio6NDbGxsSFhYmNTEFzUn27dvJwwGg5KPwcuXLxNXV1eiqalJVq1aRVlexIaoqqoiFy5cID///DNRVFQk9vb2ZPv27eTz589US2s2rl+/Trp06UI0NDTImjVrpO49JvMG1+fPn4mXlxfR19cnFy5coFqOUHz8+JEYGhpSVqOwLjp37kxWrVpFtYwGiY2N/U/n5Nq2bRsxNDSUyq9tQWnTpg05deoU1TJqweFwyMyZM4mBgYFUGV2EVKeLWbt2LdHR0SG2trYkIiLiPxfjFR0dTbS1tcm4ceOa/WVaUz3A3t6e6OrqkvXr10ul4UVIdf3Sffv2EWdnZ0Kj0Ujfvn1JeHi4VExWkTRcLpdERkYSa2tr0q5du2YfFW0ImTa4YmJiiIGBAenXr5/MvXzZbDbp0aMH8fLykho3wdOnTwmdTpeJhIz29vYkODiYahnNTnJyMlFRUZGaEdGmMmbMGPLrr79SLaNOuFwumT17NmnVqpVUlUeqobi4mKxdu5ZoaWkRd3d3cu/ePaolNSvJycnE0dGRdOrUiZK+isPhkBMnThA7Ozuira1NVq5cKRWxf/WRkJBAFi1aRPT19YmhoSEJDAyUqZCbpsJkMskff/xBlJSUyLhx46RipE9mDa7g4GDCYDDIhg0bpMZgEYaFCxcSU1NTSopR18ekSZPI2LFjqZYhEOvXryc//PAD1TKanbFjxzZbQkhJsmPHDqn+/bhcLpkxYwYxNDQkb9++pVpOneTn55NFixYRBoNB+vbt26wz+aimtLSUDB06lBgbG1OWN6umeoCbmxtRU1MjgYGBUucm/5rKykpy7tw5MmrUKKKgoEBcXFxIUFDQd19q6t27d8TT05MYGxtTHictcwYXi8Ui06ZNI5qamuTSpUtUy2kS165dIwwGQ6qqxJeVlRF1dXVy7do1qqUIRFpaGpGXl5d4+Q9p4uXLl4ROp0vlqIuw3L17l6iqqkq1S4zL5ZKpU6cSc3Nzqfow+pakpCTi7e1N6HQ68ff3l2lXszBwOBzeSCTVRnFMTAxxd3cnqqqqJDAwUOq9BBkZGWTdunXE0tKSKCsrk/Hjx0tdCgxxwuVyycaNG4mioiLZuHEjZTpkyuAqKysjXl5exMLCgrx+/ZpqOU2itLSUWFhYkNWrV1MthY9jx44RIyMjmQrGdXd3Jxs2bKBaRrMxcOBAMmnSJKpliIXc3FwCQOrzh7HZbNK3b1/SrVs3qZ+M8+jRI/LDDz8QAwMD8s8//1Atp1ngcrnEz8+PmJqaSsXo0tWrV0mPHj14pYKkQVNDcLlccufOHTJp0iSirKxMHB0dyYEDB6QyJZA4OH/+PNHW1iYzZ86k5GNPZgyuL1++kK5duxI7Ozup/3poiJkzZxJHR0epC14cNGgQmT9/PtUyhCIoKIg4OjpSLaNZqCne/T2N6Onq6pKYmBiqZTTKly9fSIcOHWTC2OVyuWTfvn1EQ0ODeHl5kbS0NKolSZyqqioyYMAA4uXlJTUjprdv3ya9evUiqqqqZOXKlaSkpIRqSY1SWFhIgoKCiJmZGdHU1CSBgYEkNTWValli582bN8TIyIj4+PgQNpvdrOeWCYMrLy+PODo6Ek9PT5koX1IfN27cIIqKilKXI6WkpIQoKipKlYtTED5+/EhoNJrMjnYKQ0BAwHeXCqNr165SWc2gLt69e0e0tbXJgQMHqJYiEJmZmWTo0KFETU2NBAUFyWScqzB8/PiR6OjokP3791MthY+LFy8SOzs7YmhoSPbu3SsTv0NVVRWJjIwkvXv3JjQajXh7e3938YHv3r0jJiYmZPz48c1qpEu9wVVYWEhcXV1Jt27dZOIroT6YTCZp3749WblyJdVSahEVFUX09fVlojP4lu7du3/3bsXy8nKira0tc2lPGsPX11emRlWPHj1KNDQ0pN4N+jWnTp0irVu3Jr1795Z695aohIWFEX19fanLvVRVVUUOHDhAWrduTbp27SoV1UQEJT4+nlfn09vb+7uIH60hOTmZtGrVivzxxx/Ndk55SDFlZWX48ccfoaKigujoaKipqVEtqcmEhISgsrISCxcupFpKLS5fvoyBAwdCXl6qb4c68fLywqVLl6iWIVEiIiKgoaGBAQMGUC1FrLRq1QqfP3+mWobA+Pj4oFevXpgxYwbVUgRmxIgRiI2NhZKSEjp16oSYmBiqJUkMHx8faGpq4tChQ1RL4YNGo8HPzw9v3ryBra0tHB0dsWnTJnC5XKqlNYqdnR2OHz+OuLg4MBgMODk5YciQIXj58iXV0kTG3NwcUVFRWLduHS5cuNA8J202005IqqqqyJAhQ4izs7NMj2wRUl02RFdXlxw9epRqKXXStm1bmQ2yrUmC+j1PbR41atR3WbB706ZNpH///lTLEIqMjAyiqalJjh07RrUUoeByuWTz5s2EwWDIjBu3KYSEhJB27dpJ9eSfqKgoXv5IWZtR+urVK+Lr60vodDrx9fWVitxWohISEkI0NTVJRkaGxM8ltQZXQEAAMTY2bpY/gqSZP38+cXJykkqXXXZ2NgEg0xMRTExMSHh4ONUyJEJVVRXR0dEhV69epVqK2Dl06BBxcnKiWobQ7Nq1i5iYmEj9rMW6uHTpEtHQ0CABAQFSE2AuTsrKyoiKigq5c+cO1VIaJDc3l3h6ehJLS0uSmJhItRyhefr0KXF3dyd6enrk8OHDVMsRmUGDBhFvb2+Jn6eWwcXhcCjPxxEaGko0NDRIXFycSMfJysqi3F+emppKGAwGuXXrlkjHefjwIamoqBCTqv9x5swZ0rp1a7Eftz6Ki4vFPmnA19eXzJo1S6zHFITHjx9LPMv3nTt3iKqqqkR++68JDQ1t9jIlFy9eJMbGxmI9ZlpamsSz8DOZTGJmZibxkaIzZ85IZFZqfHw8ad26NZk8ebLER4KioqKafabk4MGDyeLFi8V6zKKiInLw4EGxHpPJZJLx48cTExOTZjW67t+/T548eSLycbhcLgkNDSVaWlpk6NChlBSMPnDggFhi9pKSkoiSkhKJjo4Wg6r6qRW08/nzZ0yePBklJSVCuSYvX76MrKwskV2c8fHxCAgIwO7du2Fvby/SsU6cOIGQkBCh9iktLcXJkydFOu/X/Pnnn+jZsyc8PT1FOs7MmTPx6tUrofZ5/Pgx4uLiGmzz5MkTdO7cWRRpQvHw4UMsXrxY6P3CwsJQVVVV5zZPT0/cunVLRGXCExsbi2fPngm1T25uLoKCggRuf+XKFfTq1QtKSkrCyhMYLpeLCxcuIC8vT6j9zp8/j0ePHjX5vCoqKigvL2/y/nWRmpqKmzdvCr3f8uXLQQgRqK2ioiIWLVqEoKAgicbh3Lp1CykpKULt8/TpU0RFRTXYxs7ODrdv38a1a9fg5+cn8HU3hRs3bgh9DU+ePMGZM2eafM5Bgwbh4sWLTd6/LvLy8nD27Fmhf+9du3YhJyenzm2KiooICwtD79698eOPPyI/P18cUhvl6dOnePHihVD7ZGZmYs+ePXzr5OTkMGXKFMTFxaGsrAxOTk548OCBOKU2CIvFwtmzZ1FQUCDUfqdPn8bz58/51llYWOC3337DggULJPo8iM2l6OXlJXJOnZKSEtKhQwcye/ZsMakSnrS0NGJpaSmWY+Xn5xM1NTXKsrcvWbKEbN26tcE2Xl5eZM2aNc2kqOloa2uT0tLSOrclJSUROTk58unTp2ZWJTxv3rwhDg4OArfv168fpZmRG2Lu3LkkJCSkyfvfu3ePqKuri1FR02EwGEK52EpKSoimpqZUFcYlhJCDBw+S6dOnC9T2/fv3RE9PT+qK1R84cID4+/s3ef8PHz5ITZiEq6tro6WHWCwW6dWrF+nTp49Uhp0QQsiTJ0+Ih4dHvds5HA5ZsWIFUVJSEvtIoLjx8/MjYWFhtdYXFBQQVVVVcuPGDYmdu9YIFyEEaWlpvOXi4mJ8+fIFAJCYmIjr168jIyODt72srAwpKSkoLy9HdnY2UlJSwOFwmmT8LV26FMrKyti6dWuT9v+WoqIinnag2kqvqqoCm83GvXv38ODBA5SVlfG2Z2dnIz09HWw2GykpKfj06ZNI59+zZw/Mzc3Ru3dvkY4DABkZGWCz2QAAJpPJ+2rKzs5GTEwM3r59y2tbo7+goABfvnxBSkoKKioq6jxuYmIirKysRNYnKBUVFcjOzuYt5+bmory8HIQQPHv2DLdv3+b7zfLz85GSkgIul4u0tDS+e68GCwsLtG7dWqTRlqbw9u1bvlHH6OhoMJlMZGRkYM+ePQgNDeXTe+PGDURHR6OoqAgRERF4/Phxo+eIi4uDg4ODRPR/zcWLF1FZWQmgepT74cOHIITg+vXrCA4OxtmzZ3kjjIWFhYiIiMD79+/x4sULRERECD06BgB0Op13T4uLnJwc3L9/n7f86NEjfPr0CYWFhTh8+DD27NmD+Ph43vbnz58jIiICXC4XERERuHr1qkDnUVNTg7e3N44fPy5W/V9z//593nPOYrFw+fJlAMCLFy8QHByMEydO8HkiIiIi8PTpUyQnJyMiIgJJSUkNHt/S0hJnz57Fpk2bEBkZKZFruHfvHq8fZTKZiI6OBgC8fPkSO3fuxMmTJ1FaWgqg+t0TERGBZ8+eISkpCREREUhOThb6nG3atIGhoSFiY2PFdh3l5eW8vz8AvH79GomJiWAymYiMjMSuXbv4Rndq9BcUFODq1auIiIio99h0Oh0nT55EfHw89u/fLzbN9ZGQkIB3797xli9cuAAOh4O0tDTs3bsXYWFhfH301atXce3aNeTn5/N+n2+Rl5fH6tWrcfToUfj7+wvtWWoqX/dLHz9+xJMnT8DlchETE4OdO3fi4sWLvFHJvLw8REREICUlBU+ePEFERAQKCwt5x9LS0sLYsWNrjeSJk1oGF4vF4uvgjx8/jnXr1mHy5MlYvHgxTp06hR49eiA4OBhAtQtw8eLFePfuHf766y8sXryY9wA1xtfuhEePHmHfvn3466+/wGAwRL0uAMDhw4exceNG3vKQIUNw4cIF9O7dG0ePHsW2bdtgb2/Pe6gPHDiATZs2IS8vD4sXL8aRI0eEOh8hBP/++y+A6s4lJCQECxYsgJycnMjX0r9/f6SnpwOo7nAnTZqEtWvXYtKkSTh79iy8vb3h5+cHADz9t27dwsWLF7F48WIkJibWOiaXy0V6ejrMzc1F1ico//77LyZOnMhbXrhwIf7++2/0798fu3btwuHDh2Fvb4/r168DAE9/RUUFfv/9d2zevLnO47q6uvJ1BEwmU7IXAiAqKoqvI50zZw5CQ0Mxffp0VFVVISUlBe7u7jy3blZWFjIzM8FkMpGSktJoSoScnBx8+vQJjo6OEr0OAJg1axZvaD4hIQHr16+Hr68vzp07BwUFBRw8eBCDBw8GUN1HpKSkoKioCHl5eUhJSeEZa8IgCYPrxYsX2LJlC295+/btOHToEH7++Wfk5eWhuLgYQ4YMwalTpwCAp58QgpSUlDoN+voYPnw4zp8/L/ZrqGHLli08109paSn8/f2xatUqbN++HQoKCrhx4wZcXFx4/W3NPVVSUoKUlBQUFxc3eg4PDw9s2bIFfn5+Ql27oGzcuJF3/xcXFyMgIAArVqzAtm3bICcnh5iYGLi6uvLeBSkpKcjNzUVxcbHA11AXNjY2eP36tdiuIz8/HwEBAbzlU6dOYf/+/Rg0aBASEhLAZrPh7++PtWvXAgBPP5PJRFZWVqNuVX19fWzfvh1LlizhMwIkwYkTJ3Du3Dne8vTp0/HXX39h9uzZYLPZePXqFVxdXXnvjMzMTGRlZaGyshIpKSkNflyNGDECUVFRWLBgAUJDQyV6HQAwdepU3mDC06dPsXXrVowePRqXL1+GnJwcduzYgdGjRwMAr98tKSnB58+fkZKSAhaLxXe8mTNn4syZM/W6gUXm2yGvyspKvmH+PXv2EB0dHT63WHZ2NtHT0+NL19AUl6KVlRXJyckhLBaLWFtbk4ULFwo3PtcIQUFBZMGCBbzlTp06kT59+vDp3rx5M5k2bRpvWRSXIpfLJUZGRmTfvn3k4MGDxMTERGwlfKytrUlSUhIhpDqAXl1dnQQHB/O2s1gsYmVlRZ49e8ZbV59LceTIkSQyMpIkJSURAOTNmzdk4sSJzZLQ8ebNm6Rfv3685UmTJhErKyu+EhJXrlwhnTt35tuvPpfi3bt3SX5+Plm9ejXx8vIir169Iu7u7s0ya3H9+vV8iWw7dOhAxo0bx+ea2rlzJ5k6dSpvuTGXYlVVFSkoKCCEEBIdHU10dXXFL7wO2rZty0uMef36dUKn0/meeS6XS+zs7PiCbZvqUrx9+za5c+cOiY+PJwB4bhRxpPa4dOkSGTp0KG/Z29ubuLq68t07d+/eJS4uLnz7CetSfP78OcnLyyNKSkrk0aNHhJDqZ/DDhw8iXsH/GDp0KLl06RIhpDo8QUFBgfz55598bXx8fPiy3wvjUqyBy+USLy8vMmzYMN66rKwssUwKGDRoEG+G7efPn4mCggLZvn07X5vRo0eTQ4cO8ZZFdSkSQsjs2bPJlClTRDrG16SnpxMLCwve8urVq0nr1q35+sycnByira3NNxFBEJfi13Tq1EniiZyXLVtGNm/ezFs2MjIifn5+fG02bNhA5syZw1tuzKX4LVFRUURJSYk8ePBAdMENoKurS4qLiwkhhJw9e5YwGAy+iUxVVVXE3NycvHnzhreuPpdiDVZWVnzbxTkbWaBMl/369UOfPn14y4aGhrCwsGjScO/XVFVVoW/fvhg/fjyKioqwatUqiX0t1rB8+XK+BKr9+vVDQkKCWI4tJycHLS0tBAYGYs6cOdDS0sKECRMwZcoUsRz/a4yNjfm+uOh0Onr27MnnLqkPLS0tjBs3Dt27d4e8vDw8PT3x8uVLmJiYiF2nIMyYMQNmZma85d69e+PNmzcCBS/evXsXtra2CAsLw9WrV+Hh4YHU1FT07NlTcoIbYOnSpXwjmp07d65zdLE+WCwWnJ2dMXfuXJw/fx5mZmbYsGED3/PXHHTp0oXvnHJycnBzcxPqWupDVVUVw4cPx4wZM3iBt126dMHSpUtFPnZdzJ07F6qqqrxlNze3Rt1tjXHjxg24ublBTU0NCxcuxKRJk2BraytSsHdjqKurIzAwkG+dsPdXXTx48AC5ubm4cOECZs6cCR8fH/To0UMiyS01NTX5+i2g+l57//69WI6fn58PLpcLa2tr3ghXeXm50JNbBGHixIkwNTXlLRsYGEBfX7/Jk8cWLVoEW1tb7Nu3D0B1X7B582axTwCoi2XLlvEtd+nSRaT7atiwYfD29sbo0aN5I7AJCQnw8PCod/KTOOjVqxe6du3KW6bRaHBxcRHoWu7cuYNevXrBzMwM58+fR3R0NCZMmIARI0aITZ+CII1at25da526urrQMxm/hcvlIiEhAQkJCdDW1kbHjh3Rp08fHDx4UKTjNoShoSHfspqamsjX8TUMBgNMJhNMJhMJCQkoKCjgG74VF4aGhrVclYL+JrNmzUJERATPT//582f4+vqKxfXZFL79TRQUFEAIAYfDgYJCw7fowoULERkZiadPnwKojtvr0KED9PX1Jaa3IdTV1fmWlZSUhHK3KSsrw8bGBsHBwbzM/8+ePcPMmTPFqrMxNDQ06tRWXyygMDg7O8PExIQXaxUWFgZjY2OJGSvf/iY1z6goTJs2Dbt27UJeXh7u3LmDO3fuwMrKCtOmTRPpuA2hrKxc63kQ9v6qCw8PDzAYDFRVVWHv3r0AqmNy6nPfi4KqqipoNBrfOnFcQw0nT55ESEgI2rVrh9jYWEycOBEPHjyAr68vXFxcxHKOGr69rwDRnhEbGxsEBQWBzWbDysoKLBYLZWVlQs8obArfPu9KSkoiP+vx8fHIy8uDvb09WrVqheTkZNjZ2TXap4uCKP1Wt27dUFBQgNjYWMjLy/PiGmsMYHFAWS0XNpvNF1xfUFAAGxsbHDhwgCpJYuHr6fsqKir49ddf4ezsTKGi2nTq1AkdO3bkLRsaGmL+/PkUKmo6NBoN06ZN44v7a9u2LYWKRKcmhQiXywWXy4WRkZHERn+oQE5OrtZEjW7dutX5YSetaGhowM7Ojm+dq6srlJWVKVLUdOTk5DB//ny+UUAjI6NmH1UVB1OnC8WjnQAAHLBJREFUTgWXy8XFixdRUVGBv//+GxUVFfD396daWqOMGTMGZmZmIITg/fv3SEtLg4uLC4yNjamW1iRWrlzJm4T3+PFj5OfnN+sELWGRl5dH9+7dAfyv7zU3N4ePj4/4ziG2IwkJi8XiG1rs0aMHoqKian39yBpfG1yDBw/Gr7/+SqGa+nFzc+P939nZWaZedt8ybdo0PqO2OYLMJcmUKVNgZGTEW+7SpQtl7l5JMXDgQN6Iqo6ODpYsWUKxIuEZNmwYbxSyLnefLDFs2DC+PsHU1BSampoUKmoaDAYD7u7ufOusra2hp6dHkSLBYTAYsLGx4S3T6XRMmDCBQkWiMXToUL4cjzQaDT/99BOFihpn2bJlfH2vra2tWD+ixGZw0Wg0odJBMJlMnm/XyckJZ86ckWhyR0ER9jq+pWbfTp06UV5ElUaj1Zuob86cOVBWVoa8vLxYLXhJ0dDvIicnh8DAQCgoKIBOp2PYsGHNrE5wFBUVG41T1NXV5X0JMhgMzJkzpzmkCY0oswxHjhwJXV1dANXGP9VGsiC/y7f4+PjwPlQcHByaNYFwfSgqKtaaeSUoq1at4vXBVI4Si3INQHUc5dcGlqhJp0VB2PvK29ubZ8Tb2NjA29tbUtKEoinPBwD4+/tDUVERQPU9JY4USaLSUL9laGjIy9IgJyeHIUOGiPXcYjO4LCwscOXKFXz58kWg+AgWiwUWi4VWrVohIiIC2tra4pIiEgYGBigsLMSzZ8+EzmALVL8gtbS0EBYWBhUVFQkoFBwLCwvcuHGDl+vqa9q3b4+2bdvCyMiIN21WmrGwsGgwG/qYMWNgZWUFPT09vq9EacPExAT5+fk4efJkg0HJNfEmlpaWlL4wGsLBwQHh4eG4d++e0NOo1dTUYGBgAHl5ecyePVtCCgXHwcEBf/75Jx4+fCjwPkpKSryUKgMGDJCUNKFwcHDAtWvXcP36daEnBnh6evLcpFSGQTg4OCAmJgY3b95s0sQsS0tLngGvp6eHX375RdwSBcbe3h779+/H/fv3BYpTGzlyJC/+tHv37lLj8WnXrh1SU1Nx5swZoSaZjR49GtbW1gCqDS5pcLk7ODjgn3/+wf3795Gbm1tru5+fH+Tl5aGvr49x48aJ9dy0VatWrfp6BSEEiYmJGD58OIDq2CoVFRV06tSJb8cPHz7Azc2N9yXh6OiI8PBw7Nu3D56eno0O4X758gVHjhzBuXPnRC7h09A5NDQ0eBZrSkoKevTowRdYx2Kx8OnTJ/Tv3x9A9UiKhYUF1qxZg9jYWKEt3PPnz8PPz4+Xs0hcJCUloXfv3lBTU0NFRQWKi4trzcT79OkTTE1N0b59ewBAx44d8fjxYwQFBaFNmzawtLTka5+ZmQlTU9NmHeYtKytDRUUFevToAaA6WZ2VlRXfbB+gOqno1y4bBwcHbNu2DSdPnsSECRPqDPA3NzdHbGwsLx+ZpKHT6TAzM0ObNm0AVL+AXV1d+eLJ5OXloa2tzXsB0Gg0eHh44MyZMygtLcUPP/xQ57HNzc1x8OBBBAQEoFu3bhK/FgaDATc3NygqKvI6G1tbW742dDodHTp0gIGBAYDq4faSkhJcvXoVHTt25BuKF4S0tDSwWCy+vFmiQqPRYGBgwOvkFRUVYWtrCx0dHb52ysrK8PDw4C17enoiJiYGb968Ecp4UlZWxv3793HkyBGxj9ArKirCzs4O2trakJOTg5qaWq1RNAUFBZiYmPAMPwMDAxgaGuLs2bO8iUjC4ODggKioKGzdupU3AinqNdjb20NLSwtycnJQV1fnc13WXEObNm3Qrl07ANWjDPr6+jhz5gzfaK8wVFVV4dy5c7CyshJLWIe8vDw0NDTg6urK02xubl6r32IwGHB2duYZFh4eHnj+/DkePXqE7t27N/oRTqPRcPHiReTm5uLYsWPQ0tISWfu3KCgooH379rzYMCUlJXTp0oUvmJ1Go0FXV5f3bmYwGHB1dUVkZCSYTKZQo7l0Oh0XLlyAp6en2L0PSkpKcHd3B41GA41Gg6GhYa17XlFRkc+t7ODggM+fPyMmJgb29va8/qwGa2trHD16FB06dMDUqVPFqldspX2EpbCwkFy/fp2q00uM3NxcqiUITH5+PsnOzqZahlh5+/Yt1RLEhpubG2EymVTLkBjv378nhw8fplqGSLBYLL58Rd8DAQEBQuUkk0bYbDaxsLAgK1asoFqK0Jw6dYp069aNahlig8vlEisrK5l63wcGBvLlhhMXcoT8L9nRrCcbkFspvBuNCnZ3Xgo9Rt3W/8uCd1ifIPkst+LAWccai20n17t9y+swPMkXrmg1VSyynQwXHes6txWySvDLv380s6KmocPQxN7Oy+rdfiX7Afwfb5C4DlLFhZyCaF7/gUZdscut/mLhEx/+jnufxZ9vSRL87fEHuup3qnNbRnkOesZILiWDODFTM8L1PvVPNd/0+hD2J0qm1I64WWo3FVMtao9arEv4CweTz1Kg6H98CXsDzaHmoGk1XLlkuZ0fJlsMrXe73YWRqOBIvnJFDYRDUPWxDHRTtcYbf8PrwafBoCnWuS0q4wZ+e75dVHlNovJNARgdtCBHEyz10Ig2fbDZaW6920fdXYDnX97Wu11UCJtbrVVe9FRJp3tsRSft6lFavoQYl7LuIa3so8gnaA62Ov8K1PMc5VTkIyI9pnkFNZFyTiWA+g2uB3mxOJNxs/kEiYCv+SC4oG6Dq5LDkpnfxFilFYD6Da6yqgqklGZCicaAUj2dm9hoYuwwl3BRzC7Dp8r8BtvlVOQjpTQTmopqkAM1edgao4LDBJPDavClx+ZWIaU0E4rydKgoUD/5pj6KWKWgyTVsRH9hFiOlNBNqdBUoyElHDM+3sLhslFdVopBVd96/LywpuIaxRihCJcCqO3aq5hqK2A2XokstywKTw4I6XbXBdmLFAACrSODmpexyVBEOGkoVXcIuR0ppJpQVlMCQp4ssUSgs5FHOKQYamY/GIRyUsMsbHfj5WJGLlNJMaCnWzoUmNkTMz1rTb1Vy/teJ18pA1kpZB48GHxXtTBJkzqNNOJ9xW6C282zHI8BGvEFv4qKIVQqns4LPQHny0z/QZUjnNO29b8OxOf6wQG37G3tgj8dyyQoSge4XJwMNdlv/Y6njVMy2HitZQU0kpyIPNpHDBW6fMDwSqgrUB7TWxca4UIHvr2Fte2OvFN9fHU4JHhMa3msL3PUlX7i8KZxPv42Jdxv/O0f23g5XPemcxHLmww1MubdSoLY2Wha47SW5hNyiMuz6XNzJESyb/lrn2ZhsWf+IHpUkF2fA7bzg7+yUUZckqEY0lj8Pwe43J/jW1TK45CEvWatRROjygmepZdAYUn0twqBBV5Xaa2HQBC82rihPl9rrAAB5OTlwBSgp1EILLbTQQgvCQFni0xZaaKGFFlpooYX/Ci0GVwsttNBCCy200IKEEbmKZGVFBRTodIkWpJQkHA4HSe8SweFw0MasLdTUhZ8ZIi1UlJcjNTkVmlqaMDIxpqwYtThhs9koKy2DsrISGFJQiUAYcj99RlZmVp3bTNqYQk9f+suN1EVZaRky0zPQytAA2jrSkbC4MdhsNl7FNZywkU6nw9bBrsE20kbGh3QkxCagqqoKNva2sLC0oFqS0Lx7/RYJsfFgKCmhq2c3mbmnGiLx7XuYW1rUm7g0O+sjnjx8jMrKSnSwtoKjcyep7K9ZLBYyPmQIdF+lp6VDT18PKqrUJvyuj+ysj1BVU4OGZu0C1wDwOecTnjx6gorycpi3t4C9kwPodPFOLmjyCNfLZy+wZM5C2Jl2xMdM2ZjZ+C0H9/wF69bt8YOtG7o5uKOtphHGDB6J3E+fqZYmFF/yv2DiyPEwUTNENwd32LexhrWRJSJPnKJamshMGzcF5jqm2LElmGopQhO6+wB6u/ao89+FyHNUyxOaJw8fY3i/n9BO2wQ/2Lrh2uWrVEsSmPzcvHp/i5p/oweNpFqmwHA4HAT6zUKndnbwGToaE0f4wK1DJ0wcOR6VFRVUyxOIstIyTBzhgx9s3TBt3BRM+HkcHNpa49TxcKqlNYnCgkKE7j6Avl16oou1C5iVdc+q3bxmIxzNbDFplC9m+E5Db9ce+LnfTygprnvGJxW8ffUGqxevgL1pR2z9Y1O97ZiVlTgbEYWxQ0bBpb0DMj6kN6PKxmFWVuL0PxEYOWA4HNra4O2rN7XaEEKwcuFy2Lexhu/wsfjFZ2r1b9jRGfEv48SqR+hhqaCN23D88FEkvUsUq5Dm5shfYfjNfx669eyOOYvmQUtbG+dOn8HOLcEYP3wsrjy4TrVEgeByuRg7ZBRin73E8nUr4dmnJ77k52PDinX4xWcqjE1N0KWre+MHkkKuXIjGuVNnqJbRZHKyc0Cn07H/WO2ccI4uThQoajqRJ05h+ng/tDY2wtI/foeTqxMcnOvOiSWN6Orr4cbTO3VuK8j/Am+vERjys3QX1v2a3dt24Wjo3xgzYRxWblwNBTodm1dvwIFd+2Datg3W/rmeaomN8vtvS3E+8hwWrVyCSdOnIPtjNvwnTof/xOmw7NgBjjJyf1VWVGDmxOmIPncJTCYTSg2Ur4m5dAUbV67DkJ9/woqNa6CppYmw/Yew/vc/8PtvSxG0f2czKq/NnRu3sWzeYryKS4CSsnKDxvu86YE4/U8ESktKoaSsLFINYknw+2/LcDQ0DEWFRQ3q27V1B3ZuCcYon9FYsmY5dPV0EX3+EgKnzsL4YWPx5P0LXj1IURHa4NqwYi08PLvh16W/4f6tuzh2SHpTSNQHIQSb12yESRtThF86zXtAXLq4IjUpBReiziMzPQMmbUwbORL1PLr3EE8ePkbgwrmYt2Q+b725ZXu4Wjoi6uRpmTS4igqLMG96INpbWcqscZ+dlQ1Do9YYOkrw9AzSyIfUDwj0mwWXLq4IvxRZ75C8NEOn09GpHiN306pq4+SXwJnNKUkkrkfHQF1DHdv37+CVktoQvBlXLlzGmfBIqTe4igqLcPzQUfQd+CMWrVoKADBobYi/Tx+Du40rdmwOQuiJw9SKFJCysnK8fPoccxbNw6jxY7D+9z8QdfJ0nW3D9h8CnU7H1j1B0G9VXTNx/rIFuH3tJiKOhWND0CYoU1iD99m/T6Gmrobt+3ag78B+sG9Td15FALgefQ0jxo7CaN+xuHzuInZKmRfizvVb8B4/BqN9x+LWtZtYu2x1ne32BIXAzNwMuw7t4bkQR/mMxpOHj/FXyH48f/wM7t3qLsEmLEIbXK+y3vNiT148eS4WEc1NSXEJ6HQF9B88sNbXiEsXN1yIOo+PmR9lwuDS0dXByo1rMGDIQL717SzagU6nIy0llSJlovH7b0tRXlaGzbv+xISfpTOXWmPkfMyGsakx1TJEZv+OPWCz2Nh3NFQmja2GqCgvR+juAxg0fAjaWbSjWo7AfMr5BD19vVp1O41MjPEm4TWFygTjVVwCWCwWev3Ym299eytLOHd2wZ3rt6gR1gR0dHXwPDleoBis1/Gv4ODsyDO2aujdvy/u3bqLD6kf0NG2fiNH0sxZNI/34V5YUNhg25epCbxat9HnpS8f1s1nd3n6bl2rO3k4k8mElU1HuHf7oVa8Vnur6trDLFYTs0/XgdAGl6wG+n6NhqYGnifH17kt6d17MBgMdLAWvmAqFXS0ta7zAX3++BnYbDbsHCVTGFyS3Lt1F8cOHkHwgV1obdSaajlNJic7By6dXXDi7+NIiE2AkhIDfQb0ww/dPRrfWYq4dPYCPHp0RVlpKf5Yugpf8r/AzLwdfKb4ynx/cPTgEeTl5mHWrwFUSxGKLl3dcezgEbxJeA1ru+rEoh8zsxD3IhY9entSrK5xKsrLAYBX5Plr2pi1xdP/D16mcrRHUIQJds/J/lTnxIxWhtUFlLMyMik1uGoMFHG3pQJB9DEYDETF1B1P+/zxMyirqIjVtS2bUwslRNyLWJw6HgFv3zHQ0hZ/lXZJk/j2PQoLChH/Mg5b126GlU1HzJofSLUsoagoL8fcabPh0aMrfKb44vljwbInSxtsNhv5uXmIPn8Z0ecvQ1lFBRXl5di2fitmzPHH+qD6A1GliaLCIqSnpYNGo8HTqSsMWhuCwVBE2P5D2L19Fy7duQKLDu2pltkkOBwO9gaFwMnNBW4/dKZajlAsW7sCj+49xJCeA+EzxRd0Oh3/hB2Hrp4eNgRvoVpeo5iZV48mxj6vXcezJni8oqJSJgwuQSkvK0dlRQVUVGuXCFJTq16Xn9dwKa4Wmoe7N+/g9D8R+CVgBjS1xFfhRbpN1GakpLgEU7wnQFNbCys21O3rlXZmTPgF/T364Df/eagoL8fuw3tlbor1ut/XIisjC9v2BkvlNGlBqWKzMXnGVPj/GoCkvA/IKvuE2y/uw8qmI/YG78b1aNmoK5mXmwdCCDI+ZGBHaAji09/gWVIcwk4fQ97nXMyfWX+BWWnnTHgkUpNTEbhgDtVShEZPXw+jfcfiS/4X7Nq6A0EbtyE76yNGjhsFkzYmVMtrFIsO7eHo3Aknj5zA4wf/AqieABTy5w7EXLoCAFBVa8bahc0Al8tttA1pqXJBOZ9zPuEXn6lo264tlqwRb5mwFoML1aMRk70nIDM9E6EnDkNXT5dqSU1i79/7cf3JbRwK/xtm5u0wyHMgHt59QLUsgXn++Bn2Be/GolVLYdmxA9VyREJZRQVbQrZh7Z/roaOrAwCw7+SAkEN7AQCXzl6kUp7AlJeVAQBGTxiLsRN9eEbwkJ9/Qv/BA3D35h2Ul5VTKbHJ7Nq6A23M2mDQcMHrG0oLm1dvwB9LV2H15rXIKMlBZmkOtu7ejuBN27F07iKq5QlEdcC/IgZ7DoCnU1c4tLXBjs1BsHWwg5q6Gl982vdAjYurIaNKVvNZfi+UlpRizOBRqCgvx/Fz4WLPy/mfN7gIIZg7LQC3Ym5g75ED6OrZjWpJTcayYwc4uTpj6KjhOH31LOh0BaxbvoZqWQLBYrEQ6DcL+gat0L1XD7x89gIvn73A+7fvAFQHoL989qLRQE5px8nNGSqqKkhJTKZaikDUvPQ0tWq72B1dnEAIQUqSbFzL19yKuYHY5y8xfY6/zL3kysvKEbw5CH0H/oiABXOgoqoCJWVlTJnph9G+Y3Fwz1/IzpL+3IidXJxwL+4R5i9fCPtO9pgy0w/3Ex6DTqfz4tK+J1RUVaCqpoqiwqJa22rW1cRytdD8sNlsTBrli7ev3+LY2ZMSieOWrZ5GAqxYsBwn/j6ObXuDMcz7Z6rlCM2H1A9IS06Bk5sL3wwyHV0dWHbsgPdv3lGoTnDu37qL1/GvAAD93HvV2n5obygO7Q1F6InDGD56RHPLE5rnj58h/mUcxkwYy5chnxACThVHIPeCNGBkYgwajYb01LRa22py9NSXTVua2bElGOoa6vCZ7Eu1FKHJTM9AZUVFncHVtg624HA4SHyXiNbGRhSoEw5jUxMsWrmEt5yanIr4l3FY+NW67wljU5M6jeGP/1+RwqDF4KIEQgjm+M3G7Ws3cTD8b4kNvPynR7h2bQ1GyJ87sHzdSkz8ZTLVcprE9egYDO/3U61puRwOB1kZWdA3aEWRMuFw6eKGG0/v1PoXcrjaBTd5xlTceHoHvX7sQ7FSwUhJSsa86YG4cfUG3/q7N26DyWTKTNJQNXU1ePToiquXrvK9KLhcLq5djoGGpgZv+rSskBAbj9vXbmLiL1NkMs1FK0MD0Gg0xL+IrbUt9nn1OmMT2UtHUlxUjNmTZ0BVTRUT/CZSLUcidHJxwqu4BKQm86fruXzuErS0tdCuvTlFyv7b/P7bMpw88g+C9u+UaALk/+wIV8Sxk1i58HcMHTUcw0ePQFpKGt92BQWaTOTh8ho6CCsXLse65X+gnYU5XN3dUFpSinXL1+BTdg78582mWqJAaGhq1JmYklNVnR3Y0Kh1vYkrpZEfBw1AK0MDzJ85F2wWC/ZOjngd/wqLAxdAWUUFU2b6US1RYJatXYHBngMwcsBwrA/aBC1tLewN2o1XcQlYsma52OuNSZqgjdtAo9HwS8B0qqU0CS1tLYwYOwrhR09g2bzFGDd5PBQUFHAmIgqnjoej1499ZGbmaHJiMu7dvIN3r98i8uRpFBUWIfTEYRi0NqRamkT4JWAGTh0Px8QRPtgQvBk6ujo4uOcvxL2IxdzFv8rcs/Q9EPLnDuzethODhw+BSRsT3P4mZ5cCnS62Ea//rMG15Y9NIITgbEQUzkZE1dpubGqC+PTadZekDUOj1jga9Q9+8ZmK/h59wFBSArOyEvLy8pjqPw2z5stWfqHvBQ1NDZy5dh7zpgdi0qj/ua1M2pji+NkTMpVks7NHFxyKOIJ5vwRgeN/qAHM6nY6ABXPw69LfKFYnHB9SP+DcqTMYOmq4THxQ1cf2fcGg0xVwYNc+7AkKAVAdlD101HBs2ytdGb8bIubSFSyduwjaOtroM6Af5i9bACubjlTLkhjOnV2w8+BuLA5cgCE9q5NVy8vLY+xEHyxevYxidf9NIo5V1+68EHUeF6LO19quo6uDpLwPYjmXSAbXtNnT4TV0EFoZ6DfeWMrYdXAPL/leXXwddyPtePbthdi0V/j3wb9IS06Fto42HF2c0LZdW6qliYxlxw6IijkHMwvZG2rvaGuNS3evIjM9Ax9SP0BLWwvWdjYyGfM0aNhg9PP6EXHPY8FisWBtZyNzKUcAQFdPF4/fvZDZmcg1KKuoYOfBPVgftBlJ7xPB5XBh0aG9zOUPHDdpPMZNGi+Trt362LhjC35fvwrKKnXXVBw70QfDvX9G3Is4sFgsWFpZSuWIXk2CcEHSc8xZ9CsmTZ8KIxPpjBuc6j8NP48ZidZGtf/O/5wPB5NZfzZ5Gk18kVciGVztrSxlLn6jhs4eXaiWIFaUlJXh2acnPPv0pFqKWNHQ1IBn39pB9LKCnJwcTNu2gWnbNlRLERlFRUW4urtRLUMk1NTVxD7Vm0rUNdTh5OpMtYwm8z0ZWjXot9KvVbrnW5SUlaX+HSQvLw8zczOB2mrraEv1B5imlma9CUybc3LJfzpovoUWWmihhRZaaKE5aDG4WmihhRZaaKGFFiRMLZdiCbsMq1/spUKLQCQUJgnc9lb2E1RUVUpQTdNhcoWrQP5nQhiUadIZV/Y075XAbV8XpUj1/VXIKoYGXTCXU1jiOVz/+FjCipoGi8sWqv24W4shLyed319ppVkCt72V8wTDr8+ToBrRKGaXQVtRMDfasmc7Bb4Xm5u8ygKB2i16GgQNunSW6MkV8BoAILU0S6rvq/gviQK33fs2HOfSb0lOjAhUcIR7X0vzb5JcklFrXS2Dq6yqAsGvjzWLIEnzKDcOj3LjqJYhFva/O021BLGQXJwh9feXoC+55JJMJJdkSlhN83D303OqJYiFzxVf8LniC9UyxMKL/LdUSxCZF/nSP9NbEErZ5bid85RqGWIhsTgdicXpVMsQC7L2m8iRrwo7xRcmgsWtolKPwNhrtYeifN05S4rZZUgskY0bSpOuhvbq9U9PTy7NRCGrpBkVNZ326qbQrMdYYXOrEFco+FcYldDlFeCgVf9kEDa3CqVVslE/UFGeDlWFumdLAUBpVTnYMvLMqymogC5f9zwfLuGiiF3azIqahrycfL3PCQBUcJio5DCbUVHTUaYpQYmmWGu9LF2DCk0JjDquoYZCVgkIZKOotJaiOuQgV+c2FpeNsqqKZlbUNBrrt0rYZaginGZU1HTU6apQkKuemc5ncLXQQgsttNBCCy20IH6kM2ijhRZaaKGFFlpo4Tvi/wAYVOLjoErAEQAAAABJRU5ErkJggg==
# Insérez votre code ici
# test de la cellule de code précédente
assert all(
    isinstance(e, list) for e in li
), "Tous les éléments de la liste ne sont pas des listes"

assert all(
    isinstance(e, int) for li1 in li for e in li1
), "Tous les éléments terminaux ne sont pas des entiers"

assert [e for li1 in li for e in li1] == list(
    range(1, 13)
), "Tous les éléments terminaux n'ont pas la bonne valeur"

8.4 Muabilité des listes#

Les listes font partie des objets Python mutables (mutable en anglais), cela signifie que leur valeur peut changer sans que leur identité ne change. La “valeur” d’une liste est sa séquence d’objet, la modifier permet :

  • de remplacer un objet de la liste

  • d’ajouter un ou plusieurs objets dans la liste

  • de retirer un ou plusieurs objets dans la liste

  • de changer l’ordre de la liste

Les codes qui suivent donnent un exemple de ces changements en les appliquant successivement à la même liste, avec une illustration graphique de l’état de l’espace des objets après chaque exécution. On notera que l’identité de la liste reste la même après chaque changement de sa séquence d’objets. Ici, les modifications de la liste se font à l’aide d’instructions d’affection sur des indiçages ou des tranchages de la liste, il existe des façons plus lisibles de manipuler les listes par leurs attributs-méthode, elles seront étudiées plus loin.

# Création d'une liste par agencement en extension et assignation au nom li
li = ["un", "deux", "trois", "quatre"]
print(f"{id(li)=}, {li=}")  # affiche l'identifiant de la liste et son contenu
id(li)=1669253595840, li=['un', 'deux', 'trois', 'quatre']
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
# Remplacement d'un objet de la liste
print("\nL'objet à l'indice 1 est replacé par la chaine 'DEUX'")
li[1] = "DEUX"
print(f"{id(li)=}, {li=}")
L'objet à l'indice 1 est replacé par la chaine 'DEUX'
id(li)=1669253595840, li=['un', 'DEUX', 'trois', 'quatre']
data:image/png;base64,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
# Insersion d'un objet d'un  liste
print("\nL'objet 'TROIS' est inséré à l'indice 3 de la liste")
li[3:3] = ["TROIS"] 
print(f"{id(li)=}, {li=}")
L'objet 'TROIS' est inséré à l'indice 3 de la liste
id(li)=1669253595840, li=['un', 'DEUX', 'trois', 'TROIS', 'quatre']
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
# Retrait d'un objet de la liste
print("\nL'objet d'indice 2 est retirer de la liste")
li[2:3] = []  # remplace un tranchage par une liste vide
print(f"{id(li)=}, {li=}")
L'objet d'indice 2 est retirer de la liste
id(li)=1669253595840, li=['un', 'DEUX', 'TROIS', 'quatre']
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
# Inversion de l'ordre des objets de la liste
print("\nInverse l'ordre des objets de la liste")
li[:] = li[::-1]  # remplace un tranchage par une liste vide
print(f"{id(li)=}, {li=}")
Inverse l'ordre des objets de la liste
id(li)=1669253595840, li=['quatre', 'TROIS', 'DEUX', 'un']
data:image/png;base64,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

8.5 Itérables et itérateurs#

Python gère un concept d’itération sur les objets de types collection.

Un objet itérable (iterable en anglais) est un objet collection capable de renvoyer un de ses éléments à la fois. Parmi les objets itérables on trouve les séquences (exemples : chaines de caractères, listes, n-uplets), les dictionnaires, les ensembles ou les fichiers.

Un objet itérateur (iterator en anglais) représente un flux des données issuent d’un objet itérable. À chaque sollicitation d’un itérateur, celui-ci renvoie une nouvelle donnée issue de l’itérable sur lequel il est construit. Lorsqu’il n’y a plus de donnée disponible, l’itérateur lève l’exception StopIteration. À ce stade, l’objet itérateur est épuisé et toute sollicitation ultérieure ne fait que lever à nouveau l’exception StopIteration. Les objets itérateurs sont eux-mêmes itérables.

Pour construire un objet itérateur, Python propose cinq fonctions natives :

  • iter(x) renvoie un itérateur sur l’objet itérable x. Les éléments de l’objet seront parcourus dans le sens de leur rangement.

  • reversed(x) renvoie un itérateur sur l’objet itérable reversible x. Les éléments de l’objet seront parcourus dans le sens inverse de leur rangement. Les objets itérables réversibles sont les listes, les intervalles, les n-uplets et depuis la version 3.8 de Python, les dictionnaires.

  • map(f, x) renvoie un itérateur appliquant la fonction f à chaque élément de l’iterable x.

  • filter(f, x) renvoie un itérateur sur les éléments e de l’itérable x pour lesquels la fonction f renvoie True

  • zip(x1, y2 ... xn) renvoie un itérateur donc le ième objet renvoyé est le n-uplet (<ième construit="" de="" l'itérateur="" sur="" x1="" élément="">, ... <ième construit="" de="" l'itérateur="" sur="" xn="" élément="">).

Pour itérer avec un itérateur, Python propose une fonction native :

  • next(i) renvoie le prochain élément de l’itérable sur lequel à état construit l’itérateur i. Le terme “prochain” dépendant du sens de parcours de l’itérateur i et du dernier élément renvoyé par i.</ième></ième>

Exemple de construction d’un itérateur avec la fonction iter() :

li_1 = ["un", "deux", "trois", "quatre", "cinq"]  # liste itérable li_1
iter_sur_li_1 = iter(li_1)  # création d'un itérateur sur la liste li_1
next(iter_sur_li_1)  # donne 'un', premier élément de l'itérateur
next(iter_sur_li_1)  # donne 'deux', deuxième élément de l'itérateur
next(iter_sur_li_1)  # donne 'trois', troisième élément de l'itérateur

Exemple de construction d’un itérateur avec la fonction reversed() :

li_2 = [0, 1, 2, 3, 4]  # liste itérable
iter_2 = reversed(li_2)  # création d'un itérateur sur la liste li_2
next(iter_2)  # donne 9, premier élément de l'itérateur
next(iter_2)  # donne 8, deuxième élément de l'itérateur
next(iter_2)  # donne 7, troisième élément de l'itérateur

Exemple de construction d’un itérateur avec la fonction map() :

iter_3 = map(abs, [-3, 2, -8])  # création d'un itérateur sur [-1, 2, -8]
next(iter_3)  # donne 3, abs(-3), le premier élément de l'itérateur 
next(iter_3)  # donne 2, abs(2), l'élément suivant de l'itérateur 
next(iter_3)  # donne 8, abs(8), l'élément suivant de l'itérateur 

Exemple de construction d’un itérateur avec la fonction filter() :

iter_4 = filter(bool, [3, 0, "", "a"]))  # création d'un itérateur sur
                                         # la liste [3, 0, "", "a"]
next(iter_4)  # donne 3, car bool(3) vaut True
next(iter_4)  # donne "a", 0 est ignoré car bool(0) vaut False
              #          , "" est ignoré car bool("") vaut False
              #          , puis bool("a") vaut True  

Exemple de construction d’un itérateur avec la fonction zip() :

iter_5 = zip(["Astérix", "Tintin", "Boule"], ["Idéfix", "Milou", "Bill"])

next(iter_5)  # donne ('Astérix', 'Idéfix')
next(iter_5)  # donne ('Tintin', 'Milou')
next(iter_5)  # donne ('Boule', 'Bill')

8.6 🟨 ⚙️ Exercice - Itérateurs#

Soit deux objets itérables s_1 et li_1

s_1 = "Bonjour"
li_1 = ["un", "deux", "trois", "quatre", "cinq"]

Afficher les données renvoyées pour chacune des 3 premières itérations sur les itérateurs suivants :

  • itérateur qui renvoie les lettres de la chaine s_1 dans l’ordre croissant

  • itérateur qui renvoie les éléments de la liste li_1 dans l’ordre inverse

  • itérateur qui renvoie la taille des éléments de la liste li_1 dans l’ordre croissant

# Insérez votre code ici

8.7 Intervalles#

Les objets de type intervalle (range en anglais) représentent des séquences de nombres entiers (int) mais sans les lister explicitement, de ce fait l’occupation en mémoire d’un objet range est indépendante du nombre d’entiers qu’ils contiennent. Ce sont des objets séquentiels, ils sont donc itérables et servent souvent pour construire des itérateurs.

Pour créer un objet intervalle il faut utiliser le constructeur d’instances de classe range() des manières suivantes :

  • range(stop) renvoie un objet intervalle d’entiers allant de 0 jusqu’à l’élément d’indice stop exclu.

  • range(start, stop) renvoie un objet intervalle d’entiers allant de start inclus jusqu’à stop exclu.

  • range(start, stop, step) renvoie un objet intervalle d’entiers allant de start inclus jusqu’à stop exclu en progressant par pas de step. Si step est négatif, la progression se fait en sens inverse.

Autrement dit, le contenu d’un intervalle r est déterminé par l’expression r[i] = start + step * i

  • \(i \ge 0 \;\) et \(\; r[i] \lt stop \;\) si step est positif

  • \(i \ge 0 \;\) et \(\; r[i] \gt stop \;\) si step est négatif

Exemples :

range_1 = range(5)  # objet range itérable de 0 à 5 exclu
print(range_1)
print("longueur :", len(range_1),)
print("premier élément :", range_1[0])
print("dernier élément :", range_1[-1])
range(0, 5)
longueur : 5
premier élément : 0
dernier élément : 4

8.8 ⚙️ Exercice - Intervalles#

Soient quatre objets de type intervalle

range_2 = range(3, 9)
range_3 = range(3, 16, 4)
range_4 = range(16, 3, -4)
range_5 = range(-16, 3, 2)

Pour chacun d’eux, afficher

  • le nombre d’éléments

  • le premier élément

  • le dernier élément

# Insérez votre code ici

8.9 Constructeur d’instances de classe list()#

Syntaxe : list(iterable)
Sémantique : Instancie un objet de type list dont les éléments sont obtenus en itérant entièrement sur un itérateur construit à partir de l’objet iterable.

Exemples :

list()  # liste vide []
list(range(5))  # liste d'entiers [0, 1, 2, 3, 4]
list(range(0, 10, 2))  # liste d'entiers pair [0, 2, 4, 6, 8]
list("Bonjour")  # liste de caractères ['B', 'o', 'n', 'j', 'o', 'u', 'r']
list("Bonjour"[2:4])  # liste de caractères ['n', 'j']
list(map(abs, range(-3, 3)))  # liste d'entiers [3, 2, 1, 0, 1, 2]

8.10 Agencements en compréhension - introduction#

Les listes par agencement en compréhension fournissent un moyen de construire des listes de manière concise et dans un esprit très “Pythonique”. Les utilisations classiques sont :

  • la création d’une liste dont les éléments sont les résultats d’une opération appliquée à chaque élément d’une autre liste ou plus généralement d’une objet itérable (transformation)

  • la création d’une liste dont les éléments sont ceux d’une autre séquence qui respectent une condition donnée (filtrage)

  • la création d’une liste mêlant les deux types de création précédente : transformation et filtrage des éléments d’un itérable

Exemple de transformation

[2 * x for x in range(6)]  # donne [0, 2, 4, 6, 8, 10]

Cet exemple construit une liste à partir des entiers de range(6) multipliés par 2. Les éléments de l’itérable range(6) sont successivement assignés au nom x et à chaque itération, l’objet résultat de l’expression 2 * x est ajouté à la liste.

Exemple de filtrage

[x for x in range(6) if x % 2 == 0]  # donne [0, 2, 4]

Cet exemple construit une liste à partir des entiers pairs de range(6). Les éléments de l’itérable range(6) sont successivement assignés au nom x et à chaque itération, le booléen x % 2 == 0 est évalué. Si le booléen vaut True, l’objet résultat de l’expression basique x (à gauche de l’agencement) est ajouté à la liste, sinon aucun élément n’est ajouté à la liste dans cette itération.

Exemple de transformation après filtrage

[
    f"{ord(c):x}: {c}" for c in map(chr, range(0x7F)) if c.upper() != c
]  # donne ['61: a', '62: b', '63: c', ... '7a: z']

Cet exemple construit une liste de chaine de caractères qui montrent le point de code et le symbole des caractères Unicode qui sont différents de leur version majuscule. Les éléments de l’itérable map(chr, range(0x7F)) sont des chaines d’un seul caractère obtenues par la fonction chr() appliquée à des points de code dans l’intervalle range(0x7F). Ces éléments sont successivement assignés au nom c et à chaque itération, le booléen c.upper() != c est évalué (vrai si la majuscule est différent du sa version majuscule). Si le booléen vaut True l’objet résultat de l’expression f"{ord(c):x}: {c}" est ajouté à la liste, sinon aucun élément n’est ajouté à la liste dans cette itération.

8.11 🟥🟥 Agencements en compréhension - explications#

Une liste par agencement en compréhension est constituée par une seule expression suivie par au moins une clause <clause_for_if>, l’ensemble entre crochets [].

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

Syntaxe : [<expression> <clause_for_if> <clause_for_if> ... <clause_for_if>] avec

  • <expression> une expression Python valide dont l’objet résultant sera assigné à un élément de la liste ; elle fait référence à un ou plusieurs objets nommés par les clauses <clause_for_if> qui suivent.

  • <clause_for_if> est une clause <clause_for> suivie de zéro à plusieurs clauses <clause_if>
    syntaxe d’une clause <clause_for_if> : <clause_for> <clause_if> <clause_if> ... avec

    • syntaxe d’une clause <clause_for> : for <nom_cible> in <iterable>

    • syntaxe d’une clause <clause_if> : if <expression_logique>

Sémantique : une liste par agencement en compréhension est obtenue en évaluant la première clause <clause_for_if> (la plus à gauche). L’évaluation d’une clause <clause_for_if> consiste à itérer sur son itérable <iterable>, et pour chaque élément obtenu, l’assigner au nom <nom_cible> de la clause puis évaluer les clauses <clause_if> qui suivent,

  • si l’<expression_logique> de toutes les <clause_if> renvoie True et qu’il n’y a pas d’autres clauses <clause_for_if> à droite, alors l’<expression> est évaluée avec les objets qui ont été assignés à la (aux) <nom_cible>(s) ;

  • si l’<expression_logique> de toutes les <clause_if> renvoie True et qu’il y a une clause <clause_for_if> à droite, alors la clause <clause_for_if> est évaluée (définition récursive) ;

  • dès que l’<expression_logique> d’une <clause_if> renvoie False, l’itération en cours prend fin sans assigner d’élément au nom <nom_cible>) et la clause <clause_for_if> passe à l’itération suivante.

En résumé, une liste par agencement en compréhension se construit en forgeant chaque élément avec une <expression> sur des objets filtrés par des clauses <clause_if> après avoir été extraits d’itérables par des clauses <clause_for>.

Premier exemple d’une liste par agencement en compréhension

[c.upper() for c in "Bonjour"]  # donne ['B', 'O', 'N', 'J', 'O', 'U', 'R']

Chaque élément de la liste est obtenu avec l’expression c.upper()c prend les valeurs fournies successivement par l’itérateur construit sur l’itérable "Bonjour"

"B" est le 1er élément renvoyé par l’itérateur, il est assigné à c
"B".upper() ("B") est assigné au 1er élément de la liste
"o" est le 2e élément renvoyé par l’itérateur, il est assigné à c
"o".upper() ("O") est assigné au 2e élément de la liste

"r" est le 7e élément renvoyé par l’itérateur, il est assigné à c
"r".upper() ("R") est assigné au 7e élément de la liste
l’itérateur ne renvoie plus de valeur, la liste est entièrement construite

Deuxième exemple d’une liste par agencement en compréhension

[n for n in range(10) if n > 2 if n < 8]  # donne [3, 4, 5, 6, 7]

Chaque élément de la liste est obtenu avec l’expression nn prend les valeurs fournies successivement par l’itérateur construit sur l’itérable range(10) qui respectent les clauses <clause_if>

0 est le 1er élément renvoyé par l’itérateur, il est assigné à n
n > 2 est faux, on passe à l’itération suivante
1 est le 2e élément renvoyé par l’itérateur, il est assigné à n
n > 2 est faux, on passe à l’itération suivante
2 est le 3e élément renvoyé par l’itérateur, il est assigné à n
n > 2 est faux, on passe à l’itération suivante
3 est le 4e élément renvoyé par l’itérateur, il est assigné à n
n > 2 est vrai
n < 8 est vrai
n, c’est-à-dire 3 est assigné au 1e élément de la liste

8 est le 9e élément renvoyé par l’itérateur, il est assigné à n
n > 2 est vrai
n < 8 est faux, on passe à l’itération suivante
9 est le 10e élément renvoyé par l’itérateur, il est assigné à n
n > 2 est vrai
n < 8 est faux, on passe à l’itération suivante
l’itérateur ne renvoie plus de valeur, la liste est entièrement construite

Troisième exemple d’une liste par agencement en compréhension

[
    f"{i}x{j}={i * j}" for i in range(1, 3) for j in range(1, 4)
]  # donne ['1x1=1', '1x2=2', '1x3=3', '2x1=2', '2x2=4', '2x3=6']

Chaque élément de la liste est obtenu avec l’expression f"{i}x{j}={i * j}"i et j prennent les valeurs fournies par l’itérateur construit sur range(1, 3) que l’on nommera iter1 et l’itérateur construit sur range(1, 4) que l’on nommera iter2.

1 est le 1er élément renvoyé par iter1, il est assigné à i
On évalue la clause <clause_for_if> qui suit

1 est le 1er élément renvoyé par iter2, il est assigné à j
f"{i}x{j}={i * j}" ("1x1=1") est assigné au 1er élément de la liste
2 est le 2e élément renvoyé par iter2, il est assigné à j
f"{i}x{j}={i * j}" ("1x2=2") est assigné au 1er élément de la liste
3 est le 3e élément renvoyé par iter2, il est assigné à j
f"{i}x{j}={i * j}" ("1x3=3") est assigné au 1er élément de la liste
iter_2 ne renvoie plus de valeur

2 est le 2e élément renvoyé par iter1, il est assigné à i
On évalue la clause <clause_for_if> qui suit

1 est le 1er élément renvoyé par iter2, il est assigné à j
f"{i}x{j}={i * j}" ("2x1=2") est assigné au 1er élément de la liste
2 est le 2e élément renvoyé par iter2, il est assigné à j
f"{i}x{j}={i * j}" ("2x2=4") est assigné au 1er élément de la liste
3 est le 3e élément renvoyé par iter2, il est assigné à j
f"{i}x{j}={i * j}" ("2x3=6") est assigné au 1er élément de la liste
iter_2 ne renvoie plus de valeur
iter_1 ne renvoie plus de valeur, la liste est entièrement construite
</clause_for_if></clause_for_if></clause_if></clause_for></clause_if></clause_for_if></nom_cible></clause_if></expression_logique></clause_for_if></clause_for_if></clause_if></expression_logique></nom_cible></clause_for_if></clause_if></expression_logique></clause_if></nom_cible></clause_for_if></clause_for_if></expression_logique></clause_if></nom_cible></clause_for></clause_if></clause_if></clause_for></clause_for_if></clause_if></clause_for></clause_for_if></clause_for_if></clause_for_if></clause_for_if></clause_for_if></clause_for_if>

8.12 🟥🟥 ⚙️ Exercice - Agencements en compréhension#

En s’appuyant sur les régularités observées, construire à l’aide d’un agencement de liste en compréhension les listes suivantes données sous la forme d’un agencement en extension :

mat_1 = [6, 5, 4, 3, 2, 1]
mat_2 = [1.0, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9]
mat_3 = [
    [0, 1, 2],
    [3, 4, 5],
    [6, 7, 8],
]

Construire à l’aide d’un agencement de liste en compréhension les listes suivantes construites à partir de la liste
li_1 = [6.512, 6.914, 8.566, 7.651, 6.065, 5.043, 3.778, 1.104, 5.318, 3.568] :

  • [6.5, 6.9, 8.6, 7.7, 6.1, 5.0, 3.8, 1.1, 5.3, 3.6] après avoir arrondi chaque élément à 2 chiffres après la virgule

  • [6.512, 6.914, 8.566, 7.651, 6.065, 5.043, 5.318] en ne conservant que les éléments supérieurs à 5

li_1 = [6.512, 6.914, 8.566, 7.651, 6.065, 5.043, 3.778, 1.104, 5.318, 3.568]

# Insérez votre code ici

8.13 🟥🟥 ⚙️ Exercice - Agencement avancé de liste en compréhension#

Construire à l’aide d’un agencement de liste en compréhension les listes suivantes données sous la forme d’un agencement en extension :

mat_5 = [
    [ 0,  1,  2,  3,  4], 
    [ 5,  6,  7,  8], 
    [10, 11, 12],
    [15, 16],
    [20],
]
mat_6 = [
    [1, 0, 0, 0], 
    [0, 1, 0, 0], 
    [0, 0, 1, 0],
    [0, 0, 0, 1],
]
mat_7 = [
    [1, 2],
    [3, 4],
    [5, 6],
    [7, 8],
]

Construire à l’aide d’un agencement de liste en compréhension :

  • la mat_5 uniquement à partir de son rang égal à 5 et d’itérateurs de type range()

  • la matrice identité mat_6 uniquement à partir de son rang égal à 4 et d’itérateurs de type range()

  • la matrice transposée mat_7t = [[1, 3, 5, 7], [2, 4, 6, 8]] uniquement à partir de mat7

mat_7 = [[1, 2], [3, 4], [5, 6], [7, 8]]

# Insérez votre code ici

8.14 Expressions avec des listes#

Il est possible de construire des listes avec des expressions à base d’opérateurs et de fonctions (ex : +, *, sorted())

  • [1, 2, 3] + ["a", "b"] donne [1, 2, 3, "a", "b"] (concaténation de deux listes)

  • 3 * [1, 2] donne [1, 2, 1, 2, 1, 2] (réplication en 3 exemplaires de la liste [1, 2])

  • sorted(li) renvoie une nouvelle liste ordonnée avec les éléments de la liste li, la comparaison entre éléments se fait sur leur valeur
    exemple : sorted([6, 2, 8]) renvoie [2, 6, 8]

  • sorted(li, reverse=True) renvoie une nouvelle liste ordonnée en ordre inverse avec les éléments de la liste li, la comparaison entre éléments se fait sur leur valeur
    exemple : sorted([6, 2, 8], reverse=True) renvoie [8, 6, 2]

  • sorted(li, key=fonc) renvoie une nouvelle liste triée ordonnée avec les éléments de la liste li, la comparaison se fait entre éléments sur la valeur retournée par la fonction fonc() dont ils sont l’argument
    exemple : sorted([-4, -2, 1, 7], key=abs) renvoie [1, -2, -4, 7] (éléments ordonnés par leur valeur absolue)

Bien qu’elle ne renvoie pas une liste, la fonction native len() s’applique aux listes, comme à toutes les séquences

  • len(li) renvoie le nombre d’éléments de la liste li
    exemple : len([1, 2, [3, 4]]) renvoie 3 (2 entiers + 1 liste)

8.15 ⚙️ Exercice - Expressions avec des listes#

Proposer une expression unique pour toutes les listes li_1 qui construit une nouvelle liste, telle que

  • son 1er élément est la taille de li_1

  • ses éléments qui suivent sont les éléments de li_1 triés en sens inverse

  • son dernier élément est li_1

Exemple pour li_1

Nouvelle liste attendue

[12, -4, 32]

[3, 32, 12, -4, [12, -4, 32]]

[23.3, 87.1, 67.5, -23.6]

[4, 87.1, 67.5, 23.3, -23.6, [23.3, 87.1, 67.5, -23.6]]

li1 = [12, -4, 32]
#li1 = [23.3, 87.1, 67.5, -23.6]

# Insérez votre code ici

8.16 Attributs-méthode de listes#

8.16.1 Sélection de méthodes de listes#

Les objets de type list disposent de nombreux attributs-méthodes (méthodes). Ces méthodes sont listées ci-dessous en trois catégories : les méthodes qui modifient la liste, celles qui en extraient des informations et celles qui construisent une nouvelle liste.

Modification d’une liste

  • append(x) ajoute l’objet x à la fin de la liste. L’expression li.append(x) est équivalente à l’affectation li[len(li):] = [x]

  • extend(iter) étends la liste en y ajoutant les éléments de l’itérable iter. L’expression li.extend(x) est équivalente à l’affectation a[len(a):] = [iter]

  • insert(i, x) insert l’objet x juste avant l’élément d’indice i de la liste

  • pop() supprime et renvoi le dernier élément de la liste

  • reverse() inverse l’ordre des éléments dans la liste

  • sort() ordonne les éléments dans la liste, la comparaison entre éléments se fait sur leur valeur

exemples :

li = ["zéro", "un"]
li.append("deux")  # ne renvoie rien et ajoute "deux" à la fin
# li est ["zéro", "un", "deux"]
li.extend(["trois", "quatre"])  # ne renvoie rien et ajoute les éléments de la liste
# li est ["zéro", "un", "deux", "trois", "quatre"]
li.insert(3, "deux et demi")  # ne renvoie rien et insère "deux et demi" à l'indice 3
# li est ["zéro", "un", "deux", "deux et demi", "trois", "quatre"]
li.pop()  # renvoie 'quatre' et retire le dernier élément
# li est ["zéro", "un", "deux", "deux et demi", "trois"]
li.reverse()  # ne renvoie rien et inverse l'ordre des éléments
# li est ["trois", "deux et demi", "deux", "un", "zéro"]
li.sort()  # ne renvoie rien et tri par ordre des valeurs des éléments
# li est ["deux", "deux et demi", "trois", "un", "zéro"]
  • copy() renvoie une liste qui est la copie superficielle de la liste. Une copie est dite superficielle si elle copie le conteneur, mais pas les éléments contenus. L’expression li.copy() est équivalente à l’expression li[:]

Exemples :

li_1 = [1, "deux", [3, "IV"]]
li_2 = li_1.copy()  # création d'une copie de la liste li_1 et assignation à li_2 

print(
    f"| {li_1 = !r:^24} | {li_2 = !r:^24} |"
)  # donne les identifiants des deux listes
print("|" + 33 * "-" + "|" + 33 * "-" + "|") 
print(f"| {   id(li_1) =:>18} | {   id(li_2) =:>18} |")
print(f"| {id(li_1[0]) =:>18} | {id(li_2[0]) =:>18} |")
print(f"| {id(li_1[1]) =:>18} | {id(li_2[1]) =:>18} |")
print(f"| {id(li_1[2]) =:>18} | {id(li_2[2]) =:>18} |")
| li_1 =  [1, 'deux', [3, 'IV']]  | li_2 =  [1, 'deux', [3, 'IV']]  |
|---------------------------------|---------------------------------|
|    id(li_1) =     1669253793280 |    id(li_2) =     1669253806784 |
| id(li_1[0]) =   140737261585192 | id(li_2[0]) =   140737261585192 |
| id(li_1[1]) =     1669253802608 | id(li_2[1]) =     1669253802608 |
| id(li_1[2]) =     1669253806592 | id(li_2[2]) =     1669253806592 |

L’exemple montre que les listes li_1 et li_2 ont une identité différente, mais que leurs éléments sont identiques (même identité). Le tableau ci-dessous illustre l’effet de la copie superficielle dans l’espace des objets : seule la liste des indices qui réfère aux éléments est dupliquée, pas les éléments.

Numéro
de ligne

Code

Sémantique

Illustration

1

li_1 = [1, "deux", [3, "IV"]]

la liste est contruite et assignée au nom li_1

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

2

li_2 = li_1.copy()

li_1 fait une copie superficielle d’elle même et assigne cette copie au nom li_2

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irqKjAwoULcejQIfTu3Ruurq6ws7MTfHu4e/euSIZdXFxc75v23/Lz8zF48GCMGDGizvMa+5woStKMjY0REhKCV69eITAwECEhIfD19YW8vDwWLFiA9evXQ0FBoVFt1vQAfJ5IJyQkYMSIEUhISMC4ceOwaNEi6OjoCJZCP3jwIG7fvi3UTnl5eaOWSi8uLgYALF26tN6pjp8nQLWprKyEqqpqg6//eQw//fQTevbsWee5/+618PPzw9ixYxESEoLg4GAcP34ca9asQa9evbB9+3YMHz683uuXlZU16HOl5v/p5723DSEjI9OgL0jFxcWYNm0axo4d26A4Gsra2hqxsbGIjo7G33//jeDgYOzcuROamppYvXo1Fi5cWGcvCsWMZpFo1Bg0aJDgm0ZmZib279+PTZs2ITQ0FMHBwY36Baq5lfH5B8WaNWtw4sQJXLt2DS4uLiJ1SktLRcpUVVVRVFTUqOehqamJzp070xVS60F7NJqP7t27o3v37vjuu+9QUlKCvXv3Yv369Xj9+jXOnj3bqLZSU1MBAGpqaoKysWPHgsVi4d27dyJ/YIHqrvZ/U1dXR0FBQYOvq6WlBTabLVgX52upqakJeigaqua5de7c+YtikJWVhZubG9zc3AAAr1+/xtKlS+Hm5oarV68KymvD5XKRm5uLysrKOpO0zMxMAKhzzRNxanpM6qOtrY327dtLbaXafv36oV+/fvj++++Rk5ODzZs3Y8mSJUhPT5foSqWUZDTb1K9Dhw744YcfcODAAUGi0RgvX74EAHTp0gUAUFVVBX9/fyxevFhsklEbMzMzvH79us5z8vLykJSUJHhsampKl9FtAJpoNE9KSkpYsWIFfvrpJ5w7dw7x8fGNqv/+/XuoqakJusVfvHiBhw8f4qeffhKbZNTG3Nwcz549q/Ocp0+fCt5rcnJy6NKlC+7du9eoeGvTvXt3JCQkNKqOnp4e1NXVERkZKZEYunXrhkuXLsHMzAw7duyo93xLS0tUVFTUe3sjMjIS7du3b9StCwBITEysd2FDAOjRo4fEXoP6cLlc7NixAzNmzMCuXbuEerGp5oHxROPnn3/GkCFDhAZUfa5mUNO7d+9EjhUWFtba7qVLl2BgYCBINPLy8lBUVFTnPV9xA5NcXFyQlpaGqKioWustWrQI3t7egsdjxozBvXv38PTp01rrUBTTRo0aBXt7+1qP29jYAIDYb/UfP34UW4fH4+Hy5csYNmyYIIn89OkTgH8GW/8bn89HRESESLmnpyciIiKQnJxca4zjxo3D3r17BY/Hjx+Pc+fO4cOHD7XWaSgXFxe8evWq1gGLfD4fKSkpQmWysrIYPXo0jhw5IjQGoy7Jycngcrk4fPiw2ONycnKwtLRsUO+Kg4MDNDU1sW/fvlrPKSgowJ9//olRo0aJ9HrExcWJDMqt8fTpU8THx9e6Aujnxo8fj7t37zZoPMfnOBwOSPVsSJFjVlZWdQ527t+/P8rKyoTG3VHNhCSnsHzJOhonT56sczGaU6dOiUzBq5neam9vL3ZNjIiICMJms8mmTZsEZVVVVURLS4s4OTmJnS53+fJlIisrSwCQxMREoXq9evUigwYNEnut58+fE2VlZbJlyxZBWWlpKenRowfp3bs3ycnJEanD5/PJ8uXLyc2bN2t5VdqGtLQ0smPHDqbDaBW+ZB2N7du3EzabXetKnnPmzCGysrIkKytLqA7+/yqMZWVlInU2btxIAAhNI8/OziaysrLEz89P5PzKykqycOFCAoC0a9dO6FhRURHp1KkTcXV1FTvF9ODBgwQACQ8PF5Tl5uYSQ0NDMnDgQJKfny9SJzMzkzg4OJCYmBixz/nf1zcwMCAODg4iC0QRQsj69esFK21+Ljk5mairq9f6Gr17944MHjyYJCQkEEL+WSejT58+pKioSGzMurq6DZ4KvmfPHsJiscSu08Pj8ciYMWOIqqqqyCKDtra2BABZu3atSL3y8nJib29P9PT0RGIUN721vLyc9OnTh3Tt2lXs0gCFhYXE3d2dXL9+Xaj86NGjIp/BNWrWyXjx4oXIscrKSuLi4kJ0dHTo9NZmiEWImNTxC/Xp0wdycnJYsWJFvec6ODhAS0sLfD4fXl5euH37NpYtW4aRI0dCT08PWVlZuHTpErZs2YLBgwcjKChIMEYjKChIsGZ/fn4+1qxZg379+oEQgsDAQKxbtw5dunTB3bt3hfZC+O2337Bw4UJ88803WLhwIXR1dZGYmIgTJ07g4sWLmD17Nn755Rc8evQIVlZWgnrPnz+Ho6MjOnfujP/85z+wtLREXl4eQkJCsHHjRvTs2RPXrl0TGoT1/PlzuLq6QkFBAT/++CPs7e3BZrMRGxuLn3/+GS9fvkR4eDhMTU0l9fJTbZisrCyGDBnSoAGDixYtgqKiIsrLy+Hm5oaoqCjMmDEDTk5O0NTUxIcPH3Ds2DFcvXoVO3bswPLlywV1d+zYgRUrVsDPzw/Pnz/HvHnzYG5ujqKiIpw4cUIwc+Lf3fw//vgjNmzYAA8PD0yYMAGqqqp49eoVjhw5AjabDU9PT2zduhWFhYVCPR8PHjyAq6srTExMsGjRIpiZmSEtLQ0XL17EiRMnsHHjRqxdu1boWo8ePcKIESMgKyuL5cuXw8rKChUVFbh37x52796NPn364PLlyw0aNBkaGgoPDw9YWFhgwYIFMDAwQEpKCk6cOIGMjAxoa2uDzWaL3NoNCQnBmDFjoK+vjyVLlsDc3BzFxcW4desWfvvtN4wYMQJ//PGH4DMtMjISrq6u0NPTw/z582FhYQGger+WXbt2obS0FOHh4YIe2roQQrBgwQLs378fEydOxOjRo6GlpYU3b95gz549ePv2LQICAkTGe9jZ2UFNTQ3JycnQ1taGn58fOnbsiA8fPmDPnj149uwZrly5IvI7NnjwYOjq6oqM5Xn37h08PDyQk5OD5cuXY/DgwSCE4OHDh9i9ezc0NDQQGhoqNDA3MTERpqamcHZ2xoIFC8BisQRxZmdnw97eHpmZmZg3bx4GDhwINTU1xMfH48CBA3jw4AECAgLg4+NT72tENTFJZi12dnZEQ0OjQT+ffwupqKggW7duJUZGRkILDOnr65P//Oc/Ij0JNT0aT58+Jbt37xaqp6CgQKZNm1brfgb79+8nhoaGQuf7+PiQV69ekXfv3hENDQ1y5MgRkXrv3r0jY8aMIQoKCkLxbdq0Sey3HUKqv7HPnTuXKCsrC+ooKyuTKVOm1LkAGEU1lo2NjWB/iPp+Pn9v8Hg88ttvv5G+ffsKevR0dXWJq6sruXbtmsh1ano0qqqqyMGDB4m1tTWRk5MjbDabWFhYkEOHDtW6wNahQ4eItbU1UVJSIrKyssTCwoJs3ryZlJSUkNu3bxNra2uRZcMJqV4BdPr06URHR0fQ8+Hm5lZrTwwhhGRkZJBVq1YRY2NjIiMjQxQUFIi1tTXZu3dvnYtIiRMTE0NcXV2JgoICYbFYxMjIiKxatYoUFBSQdevWkblz54qt9/79ezJ//nxiaGhI2Gw2UVJSIra2trWuNJqQkEBmz55NDAwMCAAiLy9PunbtSubPn09SU1MbFTMhhFy4cIEMHTqUKCoqEhaLRfT19cnMmTPJmzdvxJ4/ffp08tNPP5HCwkKyevVqYmRkRFgsFlFQUCDDhw8nDx48EFuvtiXICSEkLy+PbNq0iXTt2pXIyckROTk5Ym5uTjZv3iy2t4eQ6l6Nmtfg34uKFRUVkY0bNxJzc3PCZrMJh8MhHTt2JD4+Pg1a0IxihkR7NCQhIyMDRUVF6NChA1RUVMSeU9Oj8fz5c5ibmwvVMzAwaNCUqdzcXOTl5UFXV7dRU6zKysqQlpYGBQUF6OjoNGgmDCEEqampIIRAR0enzgWAKIpJ9c1WqOnR+PfHRlVVVYPXvKmp+yUDgRtzna+pI+m2GluvqqoKbDZbYoOlpRl3bT0aXxsDn8+v9/O1vt9Xqnlodv+HGjvd6kvraWhoQENDo9HXUVBQgImJSaPqsFisehf9oqjm4Es/tBvzB+Rr/nh+yR9LSSUZX9NWY+tJMuavaa8h9crLyxt0G6qxMTTkSxxNMloGxmedUBRFUS1TSUkJ4uPjYWRkxHQoVDNG00GKoiiqwSorKxEdHQ0Wi4UdO3agqKgIvr6+TIdFNWM00aAYk5qaitOnT2Pp0qVMh0I1kLq6eqNvHVKtS3FxMezt7cHj8aCtrY3ff/8dvXr1YjosqhlrdoNBqbYjPDwcHh4eDV7YiKKo5qGiogJ5eXnQ1tZmOhSqBfiiMRrr1q3DpEmTJB0LRVEU1QLIycnRJINqsC+6dZKQkIC3b99KOhaqjSF0rxOKoqhWj846oSiKoihKamiiQTGG9mhQFEW1fjTRoBhDEw2KoqjWr84xGs+ePUNoaCgKCwthbGwMDw8PoQ1wapOZmYm///4bKSkp4HK5GD58eJ2bARUUFODWrVuIj49HWVkZTExM4Obm1qBr1Xjy5AkIIejTpw+A6hkN0dHRKC4uRvfu3eHp6Vnn6nV8Ph+hoaF48eIFCgsL0blzZ7i4uIDL5dZ6bo8ePaCnp4eCggJcuXIFCQkJUFVVhZ2dHSwtLYXq3L9/H1FRUSgoKICRkRFGjBgBNTW1WuN5+/YtHjx4gISEBCgpKcHKykqwMVtroaWlBW9vb6bDoCiKoqRJ3AYoPB6PTJs2jQAgOjo6xMbGhhgaGhJVVVVy6tQpMn78eGJtbS1Sj8/nk59++okoKiqSTp06EQcHB9KxY0fCZrPJokWLxG7fe/LkSaKmpkZUVVWJjY0NsbKyIkpKSqRdu3bE39+/wZu2jBgxgri5uZGUlBRiZ2dHlJWViaWlJenUqRNhsVikS5cugm2Z/y0yMpKYmZkRGRkZ0rdvX9K/f3+iqqpKlJWVya+//ipyfllZGQFA/P39yV9//UXU1NSIkZERsbS0JOrq6gQAmTJlCqmsrCRJSUnE1taWyMnJkZ49exJTU1MiKytLuFwuuXv3rti2v/32W8JisUjHjh2Jra0tMTU1JSwWi5ibm4vdIpmiKIqimiuxicaSJUsIh8Mh+/fvF9rp8ObNm8TQ0JB07txZbKKxaNEioqqqSi5cuCBUfuLECSIvL0+WLVsmVH7v3j3CZrPJnDlzSEFBgaD806dPZNKkSQSASFu1GTFiBBkwYAAxNzcn69atI8XFxYJjDx48IGpqasTd3V2kXlhYGFFQUCCenp5CO6oWFhaSNWvWEABk48aNQnVqEg0vLy9iampK7t27JzhWUVFBVq9eTQCQn3/+mXTp0oXMnz9f6Pl9+PCB9OzZk+jq6orsYLhgwQKiqKgo8ryjo6NJly5diL6+PsnPz2/Qa0JRFEVRTBNJNOLi4giHwyHr1q0TW+HZs2dEVlZWJNG4desWYbFY5MSJE2LrbdiwgbDZbPLu3TtB2Zw5c4iWlpbYbZt5PB7p3r07cXZ2btATGTFiBAFA1q9fL/b4999/T9hsNikqKhKUlZeXE1NTUzJo0CBSUVEhtt6aNWsIh8MhT58+FZTVJBqKiookLi5OpE5VVRXp1asXAUCmTZsmtt2///6bACBXr14VKldRUSGLFy8WWycqKooAIH/88YfY4xRFURTV3Ijc8D916hRYLBaWLFki9laLhYUFPDw8RMr37NmDvn37YsKECWLrLV++HBwOB+fOnROUVVRUQE5OTuy4AxkZGWzduhVjxoyp89bP57S1tbFmzRqxxwYNGgQ+n4/ExERB2fXr1xEXF4ft27fXunX7999/D3V1dfz2228ix/z8/MSOPWGz2Rg0aBAAYOXKlbXGAwCvXr0SlBFCwOPxat22vm/fvti6dWud410oiqIoqjkR+QsfHR2Nzp07Q1NTs9ZKioqKQo/5fD6CgoIwfPjwWuu0a9cOXbt2xdOnTwVlnp6eSE1Nxdq1a1FWViZSx8vLCzNnzmzQEwGAbt26QUlJSeyxmm3kMzIyBGVBQUHQ0dER/NEXR1FREe7u7rh165bIMXNz81rraWtrQ1FREV27dhV7XEVFBUpKSigsLBSUsVgsuLu748CBAwgNDRWpw2azsXJt88InAAAgAElEQVTlyjrjpSiKoqjmRGTWSXp6OvT09BrVSHZ2NkpLS3HixAn8/ffftZ6XnJyMTp06CR6PHDkS27dvx/r163Ho0CG4u7vD3d0dTk5OYmd7fI2aaZR8Pl9QlpKSUmsi8DkzMzMEBAQ0+nr1Td0Ud/zQoUOYMGEChg0bht69e8PDwwOurq4YOHAgZGToHngURVFUyyLyl6u8vFwoGWiIvLw8AIC9vT26d+9e57nGxsZCj7/77jtMmTIFp0+fxo0bNzBz5kwUFxfDw8MDP/30E3r37t2oWBqjsLCw1h6Qz6moqKCiogI8Hq/WWyySoqGhgaCgIMTExODs2bMICQnBli1boKGhgRkzZmD9+vVQVlaWagxNJScnB8+fP8eQIUOYDoWiKIqSEpFEQ0VFBR8/fmxUI+3btwcAuLi4YPz48Y0OQktLC/Pnz8f8+fPB4/Fw8+ZNrF+/HjY2Nrh+/TocHBwa3WZDqKmpITs7u97zPn36BA0NDaknGZ+zsrKClZUVgOoeo2PHjmHjxo0ICgpCREREq0g2Hj16hEmTJgndzqIoiqJaF5ExGqampkhKSmpUI+3btweXy8WjR4++OiBZWVm4urri7t27MDY2xvr167+6zdpYWFjg2bNn4PF4dZ4XExMDMzMzqcVRH01NTSxbtgwXL17E06dP8eeffzIWC0VRFEU1hkii4ejoiKSkJLx48aLWSjk5OSJlo0ePxokTJ1BcXNygCxcVFcHZ2bnWsQ9KSkoYNmwY4uLiGtTel/Dy8kJhYSHOnDlT6zkpKSm4ceMGRo0aJbU4aly6dAnOzs749OmT2OP29vZQU1OT6mvSlAhdgrxVy8jIEDuImqKotkUk0fDx8YGOjg5WrlwpNHCyxsWLF3Hjxg2R8hUrVqCwsBBz5swRW6+kpAQzZ84UTC9t164dkpKS8Msvv6CiokLk/IqKCkRGRkp1KueAAQPg4uKCFStWICUlRWwMM2bMgJaWVqNmv3wpHR0dhISE4MiRI2KPP378GPn5+ejcubPUY2kKNNFo3W7dugUvLy+hsgcPHmDp0qWoqqpiKCqKopqaSKKhrKwMf39/XL9+Hd7e3oiIiEBaWhoePXqEFStWYPbs2Rg8eLBIQ126dMHRo0dx9uxZODs7IzQ0FFlZWUhNTUVAQAD69u2Lhw8fCmaTsFgs7Nu3D0+ePMHw4cNx7do1pKamIj09HcHBwXBzc8Pz58/x448/SvUFOHLkCFRUVDBgwAAcPnwYKSkp+PjxI65fvw57e3vcv38ff/31V6P2XflS/fv3x+zZs7F69WosX74csbGxyMrKwrt37+Dv7w93d3d069YNkydPlnosTYEmGm1PeHg4/P39xfaKNtS9e/cQGBgowagoipImsTt0eXl5ITAwEPHx8bC1tYW+vj769++PFy9e4O7duxgwYABUVFRE6o0ePRphYWFQUlKCs7MztLW1YWBggPnz58PDwwPh4eFQVVUVnO/k5ITw8HDIy8vD29sbBgYG0NPTg5ubG3g8HkJDQ+Hs7NygJ6KsrCw2phocDkfsgE5dXV1ERkbCx8cHy5cvR8eOHdGhQwd4enrCwMAAkZGRsLe3F2lPQ0Oj1oW1AEBBQaHe5ERdXV2kjX379mHPnj24cuUKrKysoK2tjS5duuC7776Dl5cXwsLCWsVAUKptWrZsGXJzc6GlpfXFbZw+fRq//vqrBKOiKEqaWIQQUtcJHz58QH5+PgwNDYWShPqUlZUhISEBysrK0NXVrXcNiJKSEiQnJ0NGRgYdO3aEnJxcg68lKZWVlUhKSkJVVRU6depU526vTSEzMxMfP36ElpaWYMGx1uTevXuCmTRU63Py5EnMnDkTRUVFEm13yZIleP78OUJCQiTaLkVR0lFvokFRFPUlxCUacXFxiIiIwNSpU0XOj4yMRFhYGDIzM9GxY0fY2dkJpngDwLVr1/DhwwcEBAQgLS0NS5cuBQCMGTMGGhoaUn8+FEV9GbG3TiiKoqQhMjJSkCDUqKysxLhx4+Di4oKnT5+CEIIbN26gX79+QoPLY2JiEBISgpSUFOTk5CAkJAQhISES7zGhKEqy6JrWFEUxauvWrQgPD8fr16+Ftj+4e/cuXFxc0LdvX8GquMA/t05Onz7NVMgURTUC7dGgKIpRERERcHFxEdljaciQIRg7dizu3LnDUGQURUkC7dGgKIpRJiYmuHXrFkpLS0V2hv7jjz8YioqiKEmhPRoURTFq7dq14PP56N69OzZt2oTY2FjQMeoU1XrQRINiDI/HQ35+PtNhUAzT09NDbGwstm7diufPn8PBwQG6urpYtGiR2BV7KYpqWWiiQTEmKCgIffr0YToMqhlQUFCAr68vTp06hezsbPz111948eIFevXqhadPnzIdHkVRX4EmGhRFNSuysrIYOnQobty4gW7dumHz5s1Mh0RR1FegiQbFGLrXCZWdnQ0ulyt2lU8OhwMbGxukpqaKlNNN2Siq5aCJBsUYmmhQmpqa6NGjBzZs2IDi4mKhY2lpabh48SIGDRokVK6rq4v4+HiabFBUC0ETDYqiGHXixAkUFBTA2NgY06ZNw5o1azBx4kR07doVPXr0ECzUVWPUqFHIysrC0KFDsWjRIjx48IChyCmKagiaaFCMoT0arZuNjQ12794tVDZw4ECRnVc7deqER48e4ejRozAzM0NJSQksLCwQFBSEoKAgkV2ZjY2NERUVBVtbWygpKdHdjCmqmaObqlGMOX/+PFatWoW4uDimQ6EoiqKkhCYaFEVRFEVJDfNLkF/bBHxKYjqKlmXCPoAjy3QUFCWW1+3FeJn/nukw2rRTtlvQr70502FQFIDmkGikPAHSXzIdRcvCr6KJBtVspZZ8xPuiD0yH0aaVVZUzHQJFCTCfaFAU1SoZK+ujm5oR02G0GaWV5bid+ZDpMChKBE00KIqSCgOlDrDX7st0GG1GbkUhTTSoZolOb6UoiqIoSmpojwZFUU1CRVYJchw5qbRNCEFOufidgDXkVcFmSec7VUVVBQp5JSLlHBYb6vKqUrkmAJRUlqK0ko7DoFoGmmhQjAkMDMSuXbtw48YNpkOhmsBAnT4wUtGTStsVfB6Ovr4k9pinkT0UOfJSuW5KUQaCksNFytvJKmKUiZNUrgkAD7NeICbrldTapyhJordOKMYUFhaKbJhFURRFtS4to0dDUQ0YPL324y/+plNkWyC6BDn1uaqqKty6cRP37kYgNycX7TXbw9bBDkOGOYDNbrrvRB8zMlFSUgojEyOpXufxo1jc/DsEmekZkJOXh3kvc7iN8IC6hrpUr0tRTa1lJBoKKoBtHYlG9rsvSzT0zIHB04C0F0DE4S+PTxJUtAFNIyCBbhBFtT2J7xMx2WcCnj95JlT+y+YdsOxrhT/O/QmDjoZSu35lZSVuBF7HicPHEHztBjbv3IoZ82dJ5Vqfsj9h7uRZCAkSvWWorKKM/+7cBr9pk6RybYpiQstINCpKgBfXhcvklABTu69r12kpYDIQMHcF3twCshO+rr3GYnOqn4PVmOr/PrvaphIN2qNBAUBRYRFGOnkiKSEJln2t4DdtEjoZd0JyYjKOHjiM2Icx+GaYJ8KeREJRSUmi1457/RZ/Hj6GgOOn8DEjU6Jti1NaUgIf5xF49vgpOhp1xLdzZqBrj27I/piFPw8fw4N7UVg0Yz7UuRrw+MZT6vFQVFNoGYlGcQ5wZplwGdcQMP3769rNTqxONErzgeJPX9dWY2gYAJY+gOXI6p4MimrD9v68G0kJSehl2RvXwm9AXv6fgZvjJo/HIAsbvI9/jwO792PJ6mV1tNQ4/nv2Y/WiFYLH/QcPwNtXb5Cbkyuxa/zb4d8P4dnjp9DgaiA46ja0tLUExyZ8OxG+HqNx8+9gbFz7I000qFajbQ8GDdoMHBgD7PEASgukfz2OLDD5ELAoCBgyuzrJqOIBVZXSv3YzRHs0KAA4dewvAMDCFYuFkgwAUFRSwpLVywEAJ/84IdHr5uXmQUdPF0tWL8OD1zEICg+GVgfpJv7nTp4FAMyYP0soyQAANpuNRSuXAADevnqDjLR0qcZCUU2lZfRoSAvhN+0gUo5sdQ8KUH2b5vEFIPYCMPMUoK7fdHE0E25ubrC0tGQ6DKoBKisrISMj+Y+LzPQMJCVUb6po0bun2HNsBvUHAMS/iUNuTi40uBoSufaUmVOxfN0KcDgcibTXEJWVlTAyMYJlP2uxx407Gwv+XVxU3FRhUZRUtZ1EQ10P4Haq/Xjig+rNyqSJ8IGYs0DMeeDDE+leqwXgcrngcrlMh0E1wMKFC3H79m1MmzYNM2fOhLq6ZGZGfEj+Z/M1fUMDkePJiclY8O1cANU9YGkfUiWWaHTQ1ZFIO41x9/G9Oo+/j6/e9VZeXh6dpDzrhaKaSttJNMxdAefltR/f3BeoKJVuDLwy4PIP0r0GRUnBpk2bYG1tjdWrV2Pv3r3o3Lkz5s+fjxEjRnxVT0dRUZHg38oqykLHbgRex9zJM4XGTBQWFH7xtVqC/+31BwB4jxkplR4kimJC2xmjUVlePQ7j8x9eGdNRUVSL0L59e3Tq1Al8Ph9JSUkIDQ3FxIkTYW5ujnHjxiEmJuaL2iV8vkhZVVUVNq3bgPFeY1BaWoZf9u8SHOOLOb+1uHL+Mq6cvwx5BQUsX7ei/goU1UK0nZQ56kT1z+dspwNOkhvF3lQ8v/FBeQWP6TCoNiYuLk7ocWlpKd6+fYu3b9/iwoULMDMzg5ubG/gDv/wWZNbHLMwc/y3uht5BZ7MuOHrmOLp0NcWyOYu/Nvxm7dXzl1jw7RwAwA9bNsC0mxnDEVGU5LSdRKMVyc3NpYkG1eQqKipqPUYIQVVVFcrKvryX8H54JKaPm4r01DSMGP0N9vxvH1RUVVBe3ro3D8tIS8c4zzEoLCjEuMkTMHvRXKZDoiiJoolGCxRx5xYgq8B0GFQb4+DggDt37ggey8rKwsDAAL1798bKlSsxcGD1jCqra+MB0Q1Nxfp8erP3UA8AwP/9ugVzFs8TO/W5tU2HLsgvwFj3UUhJSoa9kyN2HtzT6p4jRdFEg2LMjRs3cPHiRezbt4/pUKh65ObmIikpCWw2GwYGBjA2NsacOXPg4+MDObkv3/q9nfI/A0C1OmjjyOlj6DfQRugc3me9dyqqKl98reamvLwck0aOx/Mnz2DZzxrHz//1Va8lRTVXNNGgGJOamooHD9rOkust2dq1ayErK4sNGzZg7ty5aN++vUTa1dXXFfw7IPAszHtZiJyT9TFL8G8dPV2R4y0Rn8/H3MmzEHbrLky7meH0tXMis24oqrWgiQbFGLoyaMuxc+dOkVU7JUHf0AC6+npIT03Di6fPxSYa0ZFRAAAjEyNoamlKPAYmrF2yChdPn4e+oQHO37iE9pqSSdwoqjlqO9NbKYr6YtJIMmqM8RsLANi55ReRgZ88Hg+//7oXAOA7abzUYmhKO7f8Av89+9Fesz3O37gkdqEyimpNaI8GxRjao0EBwJLVy3H6zwC8fvEK7nYuWLxyCQw7GSIpIQl7tu/Ck5jH0Dc0wLxlC5kO9audORGAjWt/BAB4jPTCvbsRuHc3otbzJ8+cSt8jVItHEw2KMTTRoABAXUMdF0OuYMKIsYiNfoSpYyYJHe/S1RR/XQpoFQNBb/4dAkIIAODYwaM4dvBonedPmjGFvkeoFo8mGhRjaKJB1TDr3hURzx/g2sWruB8eiU/Zn9Besz0G2g2C+zeeTTYbY/WPa5Gfl4/+gwdIpX2/aZMw0G5Qg8+v6/1BCMHbsGfoMrAHOLL0o5xqvlrGb6eiGjB4unCZwmffbnq4AJqdhY9HHgWKc/553KkvYDpE+ByDXv/823Gh8HbtxdlA5LGvCpuqm52dHbS0tOo/kWoT5OXlMdJ3FEb6jmIshm/G+ki1fTvHIbBzHFL/iQ2QFBuPI3N/haJqO3R36A1Td0ugHQCau1PNTMtINBRUqpcLr42ZffXP555cFE40DHrV3cbAKcKPP8bTREPKunXrhm7dujEdBtXEKisrkZX5Ebr6ekyH0qLpdeuIsZtnIPbqfTwOvI+Yy/eADvLAIA2kmCQB2lZMh0hRAFpKolFRAry43rg65cXCj7MTGtdGQYbw4/adAJ1G/lFs6PXi7gJKXCD1eePap6gWJC4vEan56dgy5wfEPXmDPcGHoaqhJpG2q0jtm63FZL2EDItTZ/0bpwLxPPIxFu1YCRlZ2QZft4AnfgnUsqoKRGU+bXA7jZVRkg05JXlYeQ+GlfdgFGbl4X5gGG5eug5cyIDfBR/8X48emDx5MqZOnYoOHTpILRaKqg+L1IxMYsqBMUD6S0ZDaJABkwHXVY2r86MFACm8vOse0SXIqWbL6tp4xOa+hp22FTz07QTllRWV+Gv5PrwMjcWQaW5wXz6WwSiFnV5zEC9uxmDDg9+ZDuWL5VYUYuuLw8CHMvilDUDYxVAkJydDRkYGLi4umDZtGry8vCDbiESKoiShZfRoNAfF2UDaC6ajoKgWiVdWgWMLdyPu3gvYT3eH27IxTIckJOdDFjT0W8diYDBQwOxvF+LYr/9DWFgYjh8/jrNnzyIwMBA6OjqYMmUKZsyYgS5dujAdKdVG0ESjoZ5dq/6hKKpRKkrK8cf8XXj34BWGL/TB0DleTIckIjc1G3rdOzEdhkSx2WzY29vD3t4eu3fvxpkzZ3Dw4EFs3boV27Ztg5OTE5YtWwYXFxc6+4uSKppoUBQlFc/z4pCanYa0H6NQFpcLzRnmeO/Ew/v480yHJoRU8ZGflQf0U8ehZhZbY1Tyq2o9pqSkhClTpmDKlCl4+fIlDh48iCNHjsDNzQ3m5uZYsmQJJk6cCAUFekuWkjw6RqMlaiVjNO7fv4/Y2FjMnTuX6VAoCaoZo4GCSmDLOyClFJhuCDg00/08MsuB5a+ACXqAuzbT0UjEXef/wa6eWSdFRUX466+/8PPPP+Pt27fQ19fHihUrMHfuXLqLrITo6enhhx9+wOzZs5kOhVHM92jodAVk6C91o7DrHkHfUsTExODkyZM00WhlfDoOhTk64doPR5H7oRz2631g5mHJdFi1Ss19h0C8gnMvexh36cF0OBKhq1j/+jTKysqYNWsWpk+fjrNnz2LDhg1YsmQJ9u7di40bN2Ls2LH0lgolEcwnGt6bmI6AYghdGbR1mqzqgmGLh6EoJRdnTp/GqFHMLcDVEIeeHUIgjmKL83ewsmp7a09wOBz4+vpizJgxOHfuHFavXo1x48Zh3759+N///kcHjYpRVlaG9+/fo7KyEp07d0a7du2+uC0+n4/Xr1+jqqoKPXv2lGCUzQfdvZWiKIlJSEiAg4MDUlJScLoFJBkAkJSUBAAwMjJiNhCGsdlsjBkzBi9fvsSPP/6I+/fvw9LSEnv37gXTd9ibi4qKCqxYsQJcLhe2trZwdHSEqqoqvL29kZaWBgDIy8sDi8UCi8VCeno65syZAxaLBQsLC0E7mzdvRt++ffHo0SN07doV5ubm6N+/P1NPS+pookExhvZotC6vX7+GnZ0dMjMzceXKFXh7ezMdUoMkJiZCRUUFXC6X6VCaBXl5efzwww949OgRevTogQULFmD8+PEoLS1lOjTGLViwABcvXkRYWBhycnLw6dMnPHnyBKmpqXB2dkZ5eTnU1NSQk5ODnJwcdOjQAb/88gtycnJw7949obZyc3Ph6+uLxYsXIyMjA9nZ2Qw9K+lj/tYJ1WbRRKP1ePz4MYYPH47S0lJcvXoVjo6OTIfUYImJiTA2NmY6jGbHwsICERERWL58OXbv3o2UlBRcuHAB2tqtY8BsY5WVleHw4cMICAiAtbW1oNzCwgLnz5+HkZERQkND4ebmBg0NDQDVvURKSkqCx597//49jh8/jokTJzbZc2AK7dGgKOqrPHr0CE5OTuDxeAgJCWlRSQZQnWi09dsmtZGRkcGuXbvg7++P6OhoODo6Iicnp/6KrRCbzQaLxUJJieiy8x07dkRoaCh69+7d4Pb09PQwfvx4SYbYbNFEg2KMubk5vLya3+JNVMOFh4dj6NCh4HA4uH37dou7z1xRUYG0tDSaaNRj5syZOHXqFN68eQNvb+82eRtFTk4Os2fPxrJly3Dw4EHk5+cLHXdwcICeXsM3CtTS0gKH0zpmENaHJhoUY4YOHYrly5czHQb1he7cuQM3NzcoKSnh5s2bjfo211wkJyeDz+ejU6fWtSqoNPj4+GD37t0IDw/H1KlTmQ6HEbt27cKGDRvg7+8PLS0tODg4YMuWLUhNTWU6tGaNJhoURTVaUFAQ3NzcwOVyERYWJjSiviVJTEwEQGecNNS8efOwdOlSnD59GqdOnWI6nCbH4XAwb948REdH4/379xg3bhxCQkJgYmKCnTt3Mh1es0UTDYqiGuXKlSsYOXIkdHR0cPv27Ra9zgJNNBrvv//9L3r06IGFCxfi48ePTIfDGAMDA8yZMwchISE4cOAAli1bhujoaKbDapZookFRVIOdOnUKPj4+MDY2RlhYWIufrUHX0Gg8eXl5+Pv7IycnB2vXrmU6nCYTHh6OTZvELzA5depUaGtr4/79+00cVctAEw2Kohrk0KFD8PPzg4WFBe7evQt9fX2mQ/pqdA2NLzN48GCMGzcOx48fx4cPH5gOp0mUl5fj+++/R1RUlMixDx8+4NOnTyLvCS6X22Zn6XyOJhoURdVr//79mD17NiwtLRESEgItrfr30mgJEhISWnyvDFNWrVoFHo/XZsYmDBs2DH5+fvD09MS2bdsQERGBR48e4dChQ7C3t0f//v1FZtENGjQIBw8eRFBQEO7cucNQ5MxjfvdWqs16+/YtMjIyMGTIEKZDoeqwbds2rFq1Cra2tggMDISqqirTIUmMgYEBrK2tcenSJaZDaZHc3NwQERGBDx8+tKrfi9oQQvDnn3/ir7/+Qnx8PEpKSmBiYgJfX1/MmDEDCgrCu2pnZmZi7ty5iIyMRPv27fHkyRNwOBycPHkSt2/fxoEDBxh6Jk2LJhoUY3bs2IHg4GBcv36d6VCoWmzduhWrV6+Gvb09rl69CmVlZaZDkpiKigooKipiwYIF2LVrF9PhtEiXL1+Gt7c3Tp48iXHjxjEdDtVM0VsnFEWJ9f3332P16tVwc3NDUFBQq0oygOqBoHQNja/j4uICFRUVnD9/nulQqGaM7nVCMYbuddI8EUKwdOlS7Nq1C15eXjhz5gzk5eWZDkvi6NTWrycvLw83NzdcvXoVJSUlUFJSYjokicso/YSdr08wHUaLMrXzCHRTNRI8pokGRVECfD4fs2bNwv/+9z/BrAIZmdb5MVGTaNDBoF9n5MiROH36tGCl2NbmY3kOtr48wnQYLYqdtiVNNKjmgfZoNC9VVVWYPn06/vjjD8yYMQMHDhwAm916767SNTQko2Yw9/3791tlovE5PSVtyLHpn01x+ISP5OIMscfoK0YxhiYazUdFRQUmTJiAc+fOYc6cOdi7d2+rTjKA6h4NVVVVsVt4Uw2np6cHQ0PDNrFYVYDjNpird2Y6jGYpr6IQJmfcxR6jiQbFGCMjI5EdEKmmV15eDl9fX1y6dAkrV67E1q1bmQ6pSSQmJtLbJhLSv39/BAcHg8/nt/oElWo8+htBMcbX1xebN29mOow2raSkBF5eXrh06RJWrVrVZpIMoDrRoLdNJKN///7Iz89HXFwc06FQzRBNNCiqjSoqKoKnpyeCg4OxceNGbNmyhemQmkxFRQXS09NpoiEh3bt3BwCaaFBi0VsnFNUG5eXlwdXVFQ8ePMDOnTuxePFipkNqUnQNDcmq2cE3Pj6e4Uio5ogmGhTVxnz8+BHDhw/H8+fPcfDgQUyfPp3pkJocXUNDsoyNjcHhcPDu3TumQ6GaIXrrhKLakIyMDAwbNgzPnz/H4cOH22SSAdBEQ9Lk5OTQsWNH2qMBICUpGd+OnYxvx05G2odUAEBGWrqg7M7N2w1qZ/e2nfh27GSsXrRCitE2DdqjQVFtRHJyMoYNG4bk5GQEBARg1KhRTIfEGLqGhuR17twZCQkJTIfBuIL8Alw6cwEAsPrHtQAAHT1dvHz2AnGv34JfVQX7YQ51tlFeVoaf/28bCgsKMX/5ImmHLHW0R4NiTF5eHjIyxC/wIg3BwcEoLCxssus1JwkJCXBwcEBKSgpOnz7dppMMoHWsoXHz5k1kZWUxHYaAjo5Ok76fWxrfSeMBADeu3UBBfkGd5/59JQiFBdWfVeMmj5d6bNJGEw2KMXv27MGcOXOa5Fpv377F8OHDcejQoa9qh8fjITc3Fy1p0+PXr1/Dzs4OmZmZuHLlCry9vZs8hvz8fJSXlzf5dWvTGtbQcHFxQUREhOBxRUUFli5dihcvXjAST4cOHZCfn4+ysjJGrt/cjZ8yARwOB+VlZbh26Wqd5547eQYA0MuyN8x7WTRFeFJFEw2qTejSpQsuXryIKVOmfFU7d+7cAZfLRWlpqYQik67Hjx9jyJAhyM/Px9WrV+Hs7MxIHObm5jhypPnsF5GQkNDqbptkZGRgz549uHv37he3kZOTgzNnznxRsqCtrQ2gerAxJUpXXw+D7W0BABcCat/ttrCgECF/hwAAxk2Z0CSxSRtNNCjGNOUS5Gw2G97e3uByuU1yvebg0aNHcHJyAo/HQ0hICBwdHZkOqVkoLy9HRkZGq0s0OnbsiJycHMydO/eL23j37h3Gjh2LvLy8Rtft0KEDAJpo1KUmcbh14yays7LFnnP1wmWUlZZCRkYGo8aNbsrwpIYmGhRjmnqvk9zcXPB4PMHjqqoqodsghYWFiIyMxJMnT0S+0ZWXlyM3NxdFRUUAqseX5ObmNttu4vDwcAwdOhQcDge3b99G//79pXKdgoICxMTEICoqCtnZwh+chBDk5uYiNzcXfD4fJSUlyM3NRUHBP/eny8rKBI8rKysRExOD6OhoqcRao34INBEAACAASURBVDWvoaGqqsrYtWt6NDIzMxmLobkbMeobtFNuh8rKSgReuCL2nPOnzgEAnN2HQ6uDdlOGJzU00aDaBB6PBy6Xi5s3bwrKnj59Ci6Xi9zcXPzwww/Q09PD6NGjYWNjA01NTfj7+wvO9ff3B5fLxciRIwEA+vr64HK52LlzZ5M/l/rUbNetpKSEmzdvonfv3hK/RnFxMRYtWgRtbW14enrCx8cHWlpacHZ2FszoKCwsBJfLBZfLRXp6OpYvXw4ul4sBAwYI2tm5cyccHBwQFRWFLl26wNraGnZ2dhKP93OtdWorIQRnzpxBenq6yLHs7GwcOnQI33//PbZt24bAwEChpDspKQlnzpwRvD+uXLmCM2fO4NmzZw2+fs3A2i/pDWkrlNopwcuneozU+VNnRY5/yv6Eu/9/+uu4ya3jtglAEw2KQc1l99ZFixYhPj4e7969Q2pqKoqKijB//nzMmzcPz58/BwAsXLgQhBAEBwcDqP5DSwjB6tWrmQxdRFBQENzc3MDlchEWFgYLC+kMJJs+fTqCg4MRHR2NtLQ0pKam4s2bNyguLoaTkxPKysqgqqoKQggIIdDX18fvv/8OQghevnwp1FZubi78/Pywbt06oV4jaalJNFr6YNB/I4Rg7NixiImJESoPCAiAiYkJjh07hry8PDx+/BgTJ06ElZUVkpOTAVQPlvb398eFC9XTMv/880/4+/vjwYMHDb5+TW9KW53Z1VA1t08i7oQjPTVN6NilMxfA4/GgwdXAcE9XJsKTCrqOBsUYBQUFKCsrMx0G8vLycPnyZcGuk7Kysti8eTPOnDmDK1euSO2PtaRduXIFY8aMgZ6eHm7evCm1P6Tl5eU4e/YsAgIC0LNnT0G5mZkZzp07B319fYSEhMDT07NB7SUmJuLkyZMYN26cVOL9t7a0hsa7d+8wZcoUHDhwQGggdE5ODpydnfHtt9/i5s2bcHZ2hrOzM6Kjo2FjY4OAgADo6Og06loqKioAIHRrjBJl5zgEnYw7ISkhCZfOXsScxfMEx2p6OXzGjYa8vDxTIUoc7dGgGLN69Wr88ccfTIeBH3/8UWRraw6Hg969ezfLBYj4fL5I2alTp+Dj4wNjY2OEhYVJ9ds6h8OBjIyM2C5yXV1d3Lp1C5aWlg1uT19fH2PHjpVkiCKGDx+ON2/eAKhObNTU1KCuri7VazYHUVFRYLFYmDRpklA5l8vFhg0b8PjxY4nNoKpJNGiPRt1YLBZGT6j+fb8QcE5QnpGWjvvhkQCA8VP8GIlNWmiiQbV5enp6YsvV1dWRn5/fxNHUrbKyEr169RJax+PQoUPw8/ODhYUF7t69C319fanGICMjgwULFuC7777Drl27RGYZ2NvbNyqG9u3biyR6kpafn49hw4bB09MTDx8+RIcOHRAeHo7vv/8eXbt2RW5urlSvz5ROnTqhrKxM7C0QT09PfPr0CYqKil/cflFREUJDQwFUJxosFkuQaJSVlWH79u1f3HZrNm6KH1gsFh7ej0ZyYvXtq3Mnz4DP56OzWRdY2VgzHKFk0USDolqQAwcOICkpCVFRUQCA/fv3Y/bs2bC0tERISAi0tLSaJI7t27fj559/xvnz52FgYID+/fvjhx9+aLabatna2iI1NRWBgYGIi4tDQkICXFxcsGnTJnTv3r1FrxBal8GDB2PmzJkYOnQo5s6dixs3bkh0ppScnBzGjBkj+P8vLy+PmJgYTJgwAb1798bRo0cldq3WpLNpZ1j37wtCiKBXo2a2id+3k+qq2iLRRIOiWgg+n4/ff/8dRUVFWL16NbZt24a5c+di0KBBCA0NRfv27ZssFhaLhWnTpuHOnTtITU3FvHnzEBMTg27dumHz5s1NFkdDffPNN4KufUIIeDweSkpKoK+vj//X3n3HVVn+fxx/sRFQUBBQtqgh7m1OnCiOXKg5c2u5ygxXbnN9HZWlYIp74sSRAzUNcu9yK+492Jvz+4OfFIEmcs65OfB5Ph4+gvvc577eqMmH+76uzzV//nyF02lWQEAA+/btw8TEhIEDB2Jtbc0nn3zC4cOHc3xtY2NjvL29OXHiBNOnTyc+Pp6jR4+ybt06bty4keMGeXnZm1UlW9YHcfvmbc6dPou+vj6+3TT7GFEJUmgIoSOWL1+ePmfk2LFj+Pn50aBBA/bs2aNo/4SiRYvSq1cvgoODWbNmDePGjSMsLEyxPFl5s2T53+rWrZvnVp9kpW7duixYsIDbt29z4sQJ3N3d8fb2VsujjQkTJqT30PgnR0fHfLs78Pt4M+Hz4rkLzJr0HSqVinqNGuDg5Kh0NLWTQkOIbFBqOa5KpWLBggXExsYCaSs/jIyMsLGxITExUatZDh48yMiRI7N8rVOnThQrVkzjTbeyy8TEJFOh4eTkxNy5cxVKpJyyZcsyb948ZsyYwYQJE4iJicnR9Tw8PHB0zPzN0cXFRat32XSNVWErvFu3AGDj6vVA2n4oeZEUGkJkw5sW5v/ugqlp69at49atWxmOJSUlsWXLFipUqECDBg201qXU0NCQefPmcfTo0Uyv3blzh2fPnuHk5JTheJEiRRTfabRUqVIZPm/UqJHGJ84q7bPPPmPEiBFZvlavXj3i4+Mz/LkYGBgAaV1zs6N79+4YGv7dLcHQ0JCuXfPmN011+mdTLnMLc1q2ba1gGs2RQkMoZtq0aTp3a9XDw4OiRYsyatQo9u/fz9mzZ7Uy7qxZs7L8ybN48eKULl2aWbNmYWpqqpUs9evXp3///rRp04bJkycTEhJCaGgoCxcupH79+tSpU4c2bdpkeE/dunVZsmQJW7duZffu3VrJ+W/t2rVLX93i7OzM7NmzFcmhTdWqVWPZsmWZ/p6qVCoCAgJwdHTMUBQWK1YMgOvXr2drnAEDBuDs7Jz+uaOjoxQa76FJi6bY2qftEdPWtx3mFuYKJ9IMadglFBMbG5v+KEDT9PX18fX1zdCEyMrKCl9f37cu76tevXqmrc0LFCjAhg0bGDduHAMHDqRHjx7Z6hnxIbZs2cLly5fTPzcyMqJEiRLUq1ePSZMmKfJTeUBAAN7e3qxZs4agoCBiY2NxdXXl22+/pWfPnhl+ugWYOnUqERERfP311xQuXJimTZtiZGSEh4cHzZo100pmLy8vTE1NiY2NxcfHJ8t5BXnN4MGDuXTpEjVr1qRVq1aULVuW6Oho9u/fz/Pnz9m0aVP6XQxIKzTq169Pz5496dixI6VKlXqvTdrMzc3x9PRMv+tWokQJRecNKamUR2nO3Exr3V7cMeul828YGhpy5GwosbFxWNvk3cdMeqp/LsgXQovGjBnDnTt3WLt2rdJRcrXKlStz7tw5jI2NKVWqFD179mTo0KE56n+QX1WsWJGIiAjOnj2r80talyxZQtOmTdM7nKpUKpYsWULz5s0z3F0AOH/+PAcPHuT27dsUKFAAT09PfH19MTMzy3TdiIgIFi9ezL1796hdu/Z735kICwvDy8uL5ORkVq5cSffu3XP8NeYGF15fp+KutJUgR1sup6yVu8KJcqfXiVGU2OQDwE6vH2jp8PeeRXJHQygqN+x1kpvt3buXW7duUatWLSZOnEjz5nln/wMlODg40KhRI50vMgD69++f4XM9PT0GDBiQ5bkVK1Z87831LC0t8fPzy3ae2rVr4+HhQWxsLB06dMj2+0XeJYWGUIw2bqYdenKSvQ//0Pg4mvL4+T0+XT0cK0cbDnONw2evZev99e2q4FO8rnqyxL1gwZU1armWUor3qYh+cWtGn/1BK+P1KtGaMpZ5f/nsG+3atSM0NFTutokMpNAQitHG7q1hz84z669AjY6hcZHAX/95VpZSVClqKzSeJbzU/d9LAC1uX1PHtqJaC42lN7fx3aWlarueuqV6JJNin4r7du2snphUYRA93FpqZSzx4aTQEIrS1qMTY30jPK1KaGWs3OBq5B3ikjW33PUjS1cKGOSd3SXVKUWVysVX2Vu18b5eJ0ZxK/q+Rq6tNoWAaO3sHRORKBu46QIpNIRi/Pz8SE5O1spYdgWsOdjiF62MlRs02N1HY9/sAJbUmUi5wiU1dn1dFpkUg+tGzc6lMdY34mOb95tzkReFPjtLsip7vT6EcqTQEIp50/xKCJE9xvpGtHCoo3QMxZx4cZHkbDYVU4erEeEkpWrnhyNdE5X09g6zUmgIIYQQ76Hf75OUjqCTpNAQQggdZ6RviIVR5p4Y6hKdFJvlT/IFDE0xNTDW2LivE6JQIa2edJ0UGkIIoeOcLOxp4lhLY9f/9V4od6MeZTpeybo05a1La2zcFVd3kJCi3U0D/82jkCs3PwnW6BiPHz/miy++4Pr163Tt2pXRo0drdDxNszfNuIGhFBpCCEX8cTSMgB8XY1XYivn+2ulrIUR2GesbUcJCM1u3q1Qq5syZw/fff8/Dhw8xNTXlq+5DNDaeUqTQEOIdUlNTORJymHUr1vLNhNG4l5aVFupy785dtm/ain3xYkpHyRdu3bjFrzt2ce/OPYyMjSlXsRzNW/tQyFJ7e5IkJSXx54VLVKqq2f2BdMH169fp0aMHFy5cIC4uDkjb7M/Dw0PhZOonhYZQzLx584iKimLixIlKR8nk/t17bF4XxHL/pdy5fQeAIV8PUziVENmXmprK+K/GsGShf6bt361trJkf8COt2mm2wdb1K9dYvWwlG1atx8XNhb1hIRodLzdLSkpi3LhxrF27lgcPHmR4rUaNGgql0iwpNIRi7t27R2RkpNIxMti/ey/zvvsfJ8KOa6VFuhCaNslvAou//xkTU1O+GDmUarVqEBMdzcG9IWxas4Hevj3YeiCYul71/vti2RATHcO2jVtYvWwlx0OPpR93cXNR6zi65OjRowwZMoTLly+TlJSU4TULCwv69eunUDLNkkJDKCY3fiPfsn4zx0OPUdTOlo6f+tKkRVM6eLdVOpYQH+TmtRssmr8QAwMDtofspEbtmumvde7xKUWsi+D/wyJGDxvF7xeOveNK2fPowUNqlqlKdFQ0AEXtbLEvZs/FcxfUNoauSU1NZd68eRgZGWFtbc3jx48zvF68eHHq1lXPdgG5jb7SAUT+pY29TrKrbsP6rAvexJ/3rzJ9/kzKVaqgdKQ84c7tO+zevovd23elP4p6HykpKZw9dYbgLTs4uPcAr1+9zvK8qMgowm+F8+Be1u254+PiCL8VTvit8PRjz589z3TsnxLi49Nfj4rUzVbXG1evJyUlhYbNGmcoMt7wmzQWQ0ND/rr4J+fPnFPbuAkJiSTEJ+DzSUvWbN/An/ev0qZj/i7Y9fX12bp1KytXrsTY2Bg9Pb0Mm8+5ublhYGCgYELNkTsaQlG5rdDo1ru70hHylMiISIb3H8KOoG0Z7mA1b92CBk0avvO9u7btZOKocdy6cSv9mKGhIb0G9GbavBmYmPy918qW9UF8OXAYJUqW4NT185mudfLYST5plLb51ovUSPT09Lh2+SptGvqQmprK0vXLadc549bmE0aNZ8lCfwoXKUzYpRMULFTwg34PlHQi7DgAFSpnXTBbFbbCo2wZLp2/yImw41SsUkkt49oXs+PS/asUtS2qluvlFXv37qVz584A7Nmzh71797JkyRISEhLo0aOHwuk0RwoNoZjc+OhEqE9KSgpd23Qi7Egoenp6NPJugmsJV+7duUfIrwc4tO/gW9/7y08B+A39GpVKRV2velSoUon7d++xZ/sulv68hEcPHrJ62/oc5atdvw79vhhAwI+LGT9yLM1aNsfcwhyA82fOsWxR2t440+fPxK6YfY7GUsq9O3cBcHDKvFwyJSWF/02dxV8X/wR4692gD2FaoACmslV8uuTkZKZNm8a0adNwdnYmODiYsmXL4u3tzdmzZ7l+/Tpt2rRROqbGSKEhFJXb7mgI9Vnuv4ywI6EYGRmxets6mvp4p7928dwF2jdtQ0JCQqb3Xf3rCt+OHItKpWK+/w/0GtA7/bUTYcdp09An/TGMzyc52yJ8wozJ7Nv1K+G3wpk9ZQaTZ08jNTWVrz//kpSUFJq19KZLz645GkNJ0dFp+0+8KaDeePbkKX27fMbvh4+mH4uMyF0Ts/OK8PBwunbtyh9//EHLli1Zvnw5NjZ/N7SaN28eAwcOpGBB3btj9r5kjoZQTO/evRk4cKDSMYSGBC5eCkDP/p9lKDIAyleqwDcTx2T5voVzfyAhIYHmrVtkKDIAatSuSY9+vQBYv2JNjjOamZvx/S8/oaenx+IFP3Pt8lVWL13J6eOnsLSy1PlGYqrU1EzH/jgaRv3Kdfj98FE+8W1Hw2aN086VO4xqlZyczPz586lQoQJnz57l+++/Jzg4OEORAVC5cmX27t2rUErtkEJDKKZy5cpUrVpV6RhCA169fMXlS38B8IlvuyzPsbSyzHRMpVKxa2tau+d/z5l4o06DtJn5p46fUkdU6jWsT+9BfUlKSmJ4/yFMGZPW12Xa3BkUcyiuljFyA5VKxcL/fc8njVry6sVLvlswi8CNK3Vy7kluFxoaStWqVfnqq6/w9PTk+PHjDBs27K13cAsXLqzlhNolj06EEGp3N/xO+k/ITi7O7/2+ly9epq8sCfhxMWuXZ75r8eYW/7MnT9W2cmnSrKkc2LMvvd9DI+8mdM1DE4MjIyLp2b4ru7btxMHJkcCNK6lWq7rSsfKcP//8k8mTJxMUFISVlRULFixgyJAheXY1yfuSQkMIoXZxsXHpH9vavf/KgxfPnqd/fPo/7likpKQQHxdHAbOc71pqUdCC7n178d23UwEYPOLzvDF/6P+/hvFfjSExMZFG3k3wX/0L1jbWWZyaB75ehVy6dInp06ezceNGjIyMGDJkCBMmTMj0mCS/kkJDCKF2ZuZ/f/N/9fLVexcD/1ypsHnvNtxKur/3+Tnx+OEjfp73Y/rnU8ZMon5jL4yMjNRyfaVYWJjz7EnafAG/SWMZ9a0f+voZn5gnJabtjmpuYaFERJ2VmprKwYMH+f7779m1axeGhoZ069aNSZMmUaJECaXj5SpSaAgh1M7FzRU9PT1UKhV3w+9S3NHhvd5nV8wOExMTEhISiI6KxrWE63u97803z6Sk5A/K++XAYbx+9ZpmLb25ee0GF89dYN53/8PvLRNWdUUxh+LcvnmbL0YOfevX8uzpMwCKO8jmdu/jr7/+Yu3ataxevZo7d+5QuHBhRo4cyRdffIGrq6vS8XIlmQwqhFA7SytLKlSuCMDWDZuzPOefj0neMDEx4eP6dYC0rpZv8+ab4xtWha0AePLocaY9JABePn/x1mutX7mWvTt/xczcjP/9PJ85P80DYN70OTrfMrtKjWoAXPnzSpavx8XGpvfReHOuyEilUnHmzBlmzJhBpUqVKFu2LNOnT8fGxgZ/f3/u37/PnDlzpMh4Byk0hGLWrFnD2rVrlY4hNKTv5/2BtH4ae3f+muG108dPMXvKzCzfN9zvS/T09Ni1bSc/zF6Qadnl9k1bqehalp/m/r30tGLVyujp6ZGYmJi+rPaNG1evM/Gb8VmO9fjhI8aO8APAb+JYHJ2d8GraiA6f+pKUlMSQ3oOzLFx0hW+3TgAc3Hsgyzkvyxb9QmxMLG7ublT/OPfuHPr01kNSPvBuVXalpKRw4cIFli5dSrdu3bC3t6dq1aqMHTuWuLg4Jk6cyJUrVzh16hQDBgzATA1zhPI6eXQiFHPkyBGMjIzo2lV3GyKJt+vauzub1wfx24FDdG3TifqNGuDq7sad23c4evC3DPM4/qlBYy++Gvs1c6fPYZLftwSt3UiDJg1JTU3l9PGTnAg7jqGhIR95eqS/x9nVmWYtvdm781fGDP+GvTt/xcnFibvhdwk9fPStEx3fPDLxLF+WQSM+Tz8+fd4MDuzZp/OPUMpXqkC33t1ZE7iaTj7t8Zs0lhq1axIVGcWe7bsI+HExAFP+912muRu5RVJ8It+3nwgqFbbuxSnu4UxywUdQ1IB7Zrd5bv38gyZdJiYmcvv2bW7cuMGNGze4fv0658+f5+zZs8TEpDU6MzMzo0GDBnh7e9OsWTPKlCmj7i8vX5BCQyhKZrrnXfr6+qzeuo6vP/+STWs28FvIYX4LOQxAy7at6N63F5+29s3yveOmTcCtpDvTx0/h0vmLXDp/Mf21CpUrMueneZl+Al8YuJj+XftweP9BDu0LST9erVZ1ho4aQa8O3TKc/+aRiZ6eHnMXLcgw8dPW3o7x0ycy6ouvmDd9Dj6ftKS8jm6w979FC4iNjWPrhs2MHjYqw2smpqZMnzeDlm1bKZTuv6lSVbQZ05UHl+/y6MpdLuw9SVJ82gTW2fPHMpuxmJmZYWdnR8GCBTP8AkhISCA2NhaA169f8/z5c168eEFUVMaN8vT19SldujTt27enWrVqVK9enSpVqmTYU0d8GCk0hGJ0oRNhEesinLmZ9k2uuGPead6kLeYW5ixaGcC3303kwtkL6OnpUbZCWRydnUhMTOTMzYsYGGT9k3TXz7rRpeenXDx3gft372NsbETJj0rj5u6W5fnWNtZs2bed61euce3KNQwMDCjlURr3Uu4kJSWl/zm+KW4bNm3EmZsXMTQ0wNHZKdP1eg/qS+PmTQEoZFlIHb8dijAxMWHp+uUMGDqIPTt28eDeAwwNDfEoW4b2XTpkq89JTtRv1ADDmVOwL569fWOMzUyo2fnvDfhSU1KZEvID8U+i6WrRmJKJ9oSHh/Py5UuioqKIjIzk0aNHJCUlZSge9fX1sba2xtPTE2tra6ytrXFxcaFkyZKULFkSNzc3KSo0RAoNoZjcuE38vxkYGLz3ygfxdsUdHTKtPDE2Nv7P31t9fX0qVqmUrV1FS3mUppRH6QzHjIyMMo31Xxul6evr56k/+5p1alGzTi3Fxq/+cQ21zAPRN9BHz94UiurxcbWGDPmoixrSCU3KnQ/lRL6R2wsNIYQQOSN3NIRidOHRiRC64GVCBCefXlLrNaMjojEvaIaevj4RCVFZnnM3+gnxKYlqHfefklNTNHZtoT1SaAjFtGjRAmNjY6VjCKHzXidEcTYh614ZH+Lxtfss6TOL5iN8qd6x/lvPexDzhAcxT9Q2bm4XGxuLgYGBzOXIJik0hGI6dMh6d04hhLJs3YtTqGhh9szfRNkmVTCzkvbkAPXr18fW1pbdu3crHUWnyBwNIYQQGegb6NNmfHfiImLYv3Cb0nFyjcGDB9O7d+8cX6d8+fLs2LFDDYl0g9zREEJk2+kXf/Ei4bXSMXKlmOR4jY8Rl5LALze2aHYQSzCvW5w/Nhzkfo0kTEpYana8bEjQ4LyQd+nbt69arhMeHk50dLRarqULpNAQ+UKqSsXrxKwntOVFKapUjV7/y+NzNHp98W4pqhRuRN3T/ECdrODkI+79cAomlQIDWSX2PpKTkzE0lG+vb8jvhMgXHsQ+ocQmH6VjCJEjHxVywde5abbe8/LyI27vukjVr5tlf0BnuDm4GGfmH6B8mCUe3Wpm/xoaVLKgdpqNvTFixAhsbW0ZO3Zs+rHWrVszaNAgypYti5+fHzt37iQxMRF3d3eGDBnCkCFDAHj69Ck+Pmn/BsXGxjJ+/HjmzZtH+fLlCQwM1OrXoW1SaAgh3stHhVy5+Umw0jF0ir1p9vfgeJdWDvVp5fD2VSD/duPGDbw/88bd3Z2N9WZ/0JiquiqaXWzG0eVHWTf0Z8qWLftB18kLbty4QXx8xkdjFy9eJDQ0lGHDhjF06FCmTZtGYmIiGzZsYPjw4RQpUoSuXbtiZWWFv78/kDaptG/fvjRv3hxzc3MlvhSt0lNJMwOhkMOHD2NqakqtWprrVng54jaXIm5o7PrasPnHtVw+foEeYwfg4lkiW+/9qJArFaxKaSiZbho0aBCDBw+mYsWKSkfRqGfPnlGlShXu379Po0aNCAkJ+e83vcXNmzepUKECFStW5OjRoxgYGKgxqe5o1aoVjo6OLF68OP2Yq6srz549IyQkJNO/ZV26dOHp06ccPHgww/GCBQvi7++fbzaUlDsaQjGBgYHY2tpqtNAoY+lGGcus98bQFfVGlqdq1apM6jgSJycn/Pz86NGjR779xz6nQkNDuXr1KocOHVI6isZERUXRtGlT7t+/D0ChQjnbq8Xd3Z0ZM2YwfPhwpk6dyqRJk9SQMu/o3r17lv+ONWrUiKlTpyqQKHeR5a1CMXIz7f3Y29tTqVIlYmJiuHLlCoMHD6ZSpUqMHj2a169l5Ud2REZG8vDhQ44fP05YWJjScTQiKSkJHx8fLl78e8dbC4uc98EYOnQobdq0YerUqTm6O5IXve3umK2tLU+fPtVymtxHCg2hGF3YVC23WLx4Mba2tgDEx8dz6dIl5syZQ+XKlfH19SU8PFzZgDoiNDSUiIgI4uLi8PPzUzqO2qlUKnx9fTl+/DipqX+vPDIzM8vxtfX09AgMDMTR0ZFu3brx+PHjHF8zP5AfqKTQEAqSQuP9OTk58fHHH2c4lpqaSnh4OEFBQVSpUoUmTZqQkiJ7Q7zLli1b0n+PLl68yIEDBxROpF69e/dm3759JCUlZTiujkIDoEiRIqxcuZLnz5/To0cPkpOT1XJdkbdJoSEUJYXG+5s7dy7FihXLdLxEiRL07duXxYsXy7yN/3Dp0t8bj0VERDBu3DgF06iXn58f27ZtIy4uLtNr6lzZ0KBBA6ZPn86BAwcYNmyY2q4r8i4pNIRi5JZi9ri7u1OpUqUMx/T09Jg4cSJz5syhZMmSCiXTDcnJyTx79izDsatXr7Jr1y6FEqnPtWvX2LVrFxUqVODjjz+mQIECGV5X9xJKPz8/+vfvz6JFi/jhhx/Uem2R90ihIRRTs2ZNKlSooHQMnfK///0POzs7ANzc3HBzc6N///4EBQUpnCz3O3/+PC9fvsxwLCIiggkTJuh80Vu6dGkuXbrEkSNHWLVqFQkJCdSuXRtn57SGVuqYDPpvCxcupF69csyACwAAH3tJREFUenz11VcEB0t/lewoWLAgMTExSsfQGik0hGKGDRuWb9aRq4unpyfly5fH2NiYUaNGERoaSunSpenSpQsrVqxQOl6utn37dl69epXp+PXr19m0aZMCiTTD39+f1NRUlixZws6dOylSpIhGCg1jY2O2bNmCu7s7vr6+7Nu3T+1j5FXly5dnzZo1PH/+nIiICKXjaJwUGkLomDlz5mBkZESfPn2wt7cnJCSEcuXK0adPH5YuXap0vFwrNDQUPT09nJ2dMTExwcbGhgYNGlC8eHG++eYbnb+rAZCYmMiKFSto0KBBelG6atUqjd05tLGxISQkBEdHR9q2bZupMVVeY2FhkWliraWlJSYmJlmeb2xsTOHChTMd/+6777h58yZFixbFwcFBI1lzFZUQQuds2bIlw+evXr1S1apVS6Wnp6eaP3++QqlyNzs7O9Vnn32mev78ucrLy0tVpkwZlUqlUqWkpKiCg4NViYmJCifMuXXr1qkA1dq1a7U6bnh4uMrFxUVlbm6uOnDggFbH1mUPHz5UJSQkKB1D46QFuRB5RHR0NG3atOHQoUNMmTKFb7/9VulIucrp06epWrUqkLYMdMOGDcTExOSplU8NGzbk4sWL3L9/H1NTU62OffPmTRo3bsyjR49YunQp3bt31+r4IveSFuRC5BEWFhbs3LmTtm3bMmHCBGJiYpg5c6bSsXKNN0UGpO1PERcXx9OnT9Mn1+q6q1ev8ttvvzFy5EitFxmQtirq2LFjtGrVip49e3Ljxo080ao8MimGvY/yZhfZ92FhaEaL4nVydA0pNITIQ8zMzAgODqZz587MmjWL1NRUZs/+sF078zJXV1cAwsPD80yhERAQAED//v0Vy2Bvb8+hQ4fo2LEjkydP5tatWyxatEindyi9F/uYTke/UTqGYkoWdOJ6mx05uoZMBhWKuXXrFg8fPlQ6Rp5jYmLCxo0b6dixI3PmzGHw4MEZ2lGLjIVGXpCQkMCqVato2LAhpUuXVjRLwYIF2blzJ1988QWrVq2ievXqGRqlifxH7mgIxfj5+eHp6cnkyZOVjpLnGBsbs379+vSOodHR0QQGBmJoKP/LQ94rNIKCgnj27BkDBw5UOgoARkZGLFy4kAYNGtCvXz9q1qzJvHnzGDBggE7PiTnss5QKhZUt5LRl1oVlzLoYqJZryR0NoRiZh6xZBgYGLFu2jL59+7J69Wp69OiRaQ+M/MrR0REjIyPu3LmjdBS18Pf3x8bGhk8++UTpKBn4+vpy+vRpPDw8GDRoEF5eXly5ckXpWELLpNAQitLln250gb6+PkuWLGHEiBGsX7+eDh06kJCQoHQsxRkYGODo6Jgn7mhcuXKF33//nb59+761n4OSSpYsybFjx5gxYwYnT56kUqVKTJkyhfj4eKWjCS2RQkMoRu5oaIeenh7z58/n22+/JTg4mHbt2mW58VZ+4+rqmicKjcWLFwPQt29fhZO8nZGREaNHj+bSpUs0aNCAiRMnUqpUKQICAmQH2HxACg0h8okpU6Ywc+ZM9uzZQ4sWLYiKilI6kqLeFBq6XPDGxcWxatUqGjduTKlSpZSO859KlCjBr7/+ysaNGzE3N2fgwIFUqFCBzZs3y4TlPEwKDaEYlUolj060zM/Pj9mzZ/Pbb7/h4+NDZGSk0pEU4+Likt5LQ1dt2rSJly9f5ppJoO9DT08PX19f/vrrLzZu3EhcXBwdO3akdOnSfP/99/lqs7H8QgoNoRg7O7ss9wEQmjVq1CgWLVpEWFgYjRo14sWLF0pHUkReWHni7++PnZ1drpsE+j709fXTC46ffvoJPT09RowYgYuLC+PGjdPpPxeAly9eEvDjYgb16E+vDt0Y2vdzVi9dSUx0/iukpNAQilm0aBHDhg1TOka+NGjQIFasWMH58+epX78+jx49UjqS1ul6oXH58mXCwsLo06cPRkZGSsf5YAUKFODzzz/n6tWr7Nixg8qVK/Pdd9/h5uZGtWrVCAgI0LnHfMGbt1O5RDlGDxvFxtXrCd6ygzXLVjGs3xdUK12JU8dOKh1Rq6TQECKf6t69O6tWreL69es0atSIBw8eKB1Jq3S90Fi0aBF6enr06dNH6Shqoa+vT+vWrdm/fz/nzp1jxIgR3L17l4EDB1K8eHF69OjB5s2bc/2jlaOHjtC3y2dERUbRrKU3G3YFcfjM7yzftIpKVSvz5NFjPm3ty8sXL5WOqjVSaAiRj3Xp0oXNmzdz+/Zt6taty61bt5SOpDW63EsjLi6O1atX06xZM0qWLKl0HLWrWLEi8+fP58GDB2zbto2mTZsSFBREx44dKVq0KG3btmX58uU8e/ZM6aiZTBs3meTkZHw+acn6nUE09fGmQuWKtOnYlh2HdmNXzJ4Xz1+wZtkqpaNqjRQaQuRzrVu3ZuvWrTx58oSGDRty/fp1pSNpxZteGrdv31Y6SrZt2LCBV69e6dQk0A9hZGTEJ598wpYtW3j58iU7duygY8eO/Pbbb/Tu3RtbW1vc3d0ZOHAgmzZtyvbk5t27d7Nr1y615U2Ij09/LPLZwMx3miwKWtDYuzEAp47nn8cnUmgIIWjRogV79uzh1atX1K9fP9/sTaGrvTT8/f2xt7enVatWSkfRmgIFCtC6dWtWrlzJkydP2Lt3L19++SXm5uYsWbKETp06YWtri5eXF+PHj2fXrl28fPnuxxM2NjZ07dpVbX/nDQwNCTn5GwdPHaGuV70szylkaQlAYj5qnCcbHwghAGjQoAF79uzBx8eHxo0bs2/fPipWrKh0LI1ydXXl2LFjOrXU+sKFCxw7dozx48fr9CTQnDA2NqZZs2Y0a9YMgCdPnhASEsKBAwc4fPgw06dPB9KW0np4eFCrVi1q1apF1apVKVeuXHoH1erVq2Nvb8/Ro0dp2rQp9erVY+HChdja2n5QLkNDQypVrfzW11UqFcfDjgO887y8RgoNIUS6OnXqcPDgQby9vfHy8mLPnj3UqlVL6Vga86aXxpMnT7C3t1c6znvx9/dHX18/V3cC1TY7Ozu6du1K165dAXj06BF//PEHoaGh/PHHH6xdu5bAwLQNwoyMjPD09KRKlSpUrlw5vWHb48eP2bRpEydPnqRDhw5MmzYNU1NTtWVMSEhgxoRpnD15mqK2Rek3JG8/9vonKTSEYlq1akWdOnUYM2aM0lHEP1StWpUjR47QpEkTmjZtyo4dO2jYsKHSsTTCzc0NSFt5oguFRmxsLGvXrqV58+bpq2ZEZsWKFaN9+/a0b98eSPsmf/78ec6cOcPZs2c5c+ZMhuLjn8LDw5k/fz5BQUGMHDmShj1afHCOgB8X88fRMF6/fMWfFy7x/Nlz3Eu5s2zjSqxtrD/4urpGCg2hGF26XZ3feHp6cvDgQZo0aUKrVq3SZ/7nNf9c4qoLd27WrVvH69ev8/wkUHUzMTGhRo0a1KhRI/1YUlISBw4c4NNPPyUiIiLD+ampqdy5c4dRo0bhvHUJ9DX4oHHPnDjN9k1bMxxr6uONg5PjB11PV8lkUKEYKTRyNw8PD37//Xfs7e1p3bo127dvVzqS2ulaLw1/f3+KFSuGj4+P0lF0npGREevXr89UZBgYGGBtbY29vT3ly5fH09Pzg8cYM2U8B08dYedvv/K/n+fjXroki7//meZ1mvD08ZOcfgk6QwoNIcRbubq6cujQIZydnenUqRNBQUFKR1IrBwcHnemlcf78eU6ePMmAAQMwNJSb0TkVEhLCtm3bKFasGB4eHtStW5c+ffqwbt06zpw5w6NHjzh58mT6xNIP4eLmQqWqlaldvw59Bvfj6LkwPvL04MbV68yaPEONX03uJoWGUIzc0dANzs7OHDlyhNKlS9OlSxdWrFihdCS1MTAwwMnJSSfuaCxatAh9fX169+6tdJQ8ISoqimXLlnHy5EkuX77M0aNHWbp0Kb6+vjg7O2tkTNMCBRg4bDAAe3f+qpExciMpi4VipNDQHfb29oSEhODt7U2fPn1ITk7OM6sedKGXRnR0NOvWrcPHxwcXFxel4+QJbdu2Vfs1Xzx/we+HjgDg07ZVlsuPnVycAHj6+Em++TdQ7mgIId6Lra0thw4dokaNGvTv358FCxYoHUkt3hQab5Y55kZr164lMjJSJoHmcs+fPqN3p5707tST61euZXlO+K1wAGzt7fJFkQFSaAgFBQUFMXToUKVjiGywsrJi//79eHl58eWXXzJ16lSlI+WYi4sL8fHxPHmSeyfnBQQE4OjoSIsWH77UUmheKY/SODqn3bGYM3VWpuI1Pi4O/x8WAeDdqrnW8ylFCg2hGAsLC7U2xBHaYWFhwc6dO2natCkTJkxg9OjRSkfKkdy+8uTUqVOcPn2a/v37Y2DwYcsshXbo6+szff5M9PT02L5pK83rNCFw8VJ2b9/Fz/N+pE75mty4ep2idrZ8Pf4bpeNqjczREEJkm5mZGcHBwXTp0oVZs2aRmprK7NmzlY71QXJ7L42AgAAMDQ3zzJyYvK51+zYsXb+cUV98xck/TnDyjxMZXq9QuSIBa5ZSzKG4Qgm1TwoNIcQHMTExYcOGDXTr1o05c+YQFRXFTz/9hL6+bt0ozc13NKKjo1m/fj0tW7bEwcFB6TjiPbXt1B7vVs058OsB/jx/kdjYOAoXKUzNOrX4uF7tfDM34w0pNIQQH8zY2Jj169fTt29fFi9eTHR0NIGBgTrV5yE399JYvXo1UVFRMglUBxUwM6N1+za0bt9G6SiK051/DYQQuZKBgQHLli3D0NCQpUuXkpyczMqVK3VmZ9E3vTRu376tdJRMlixZgrOzc/oupULoIik0hBA5pq+vz5IlSyhYsCALFiwgJiaGTZs2pW/Hndvlxl4aJ06c4MyZM0ybNk0mgQqdplsPU0WeMnjwYNauXat0DKEmenp6zJ8/n2+//Zbg4GDatWtHXFyc0rHei6urK3fu3MlVvTT8/f0xNDSUTqBC50mhIRRz9epVnj17pnQMoWZTpkxh5syZ7NmzhxYtWhAVFaV0pP/0ppfG48ePlY4CQEREBBs2bKBNmzYUL55/VieIvEkKDSGE2vn5+TF79mx+++03WrRoQWRkpNKR3snNzQ3IPStPVq9eTUxMjEwCFXmC8nM0UlPg/A6lU+gW8yJQuoHSKXIsv/T5z28SUhKZeGExNDGh2dhO7J+5iY9qlaPTz4MpYGmudLws3U+6CcCMw4vxND2pcBoI/HE2lg7WhFhf5uDZK9l+v54ezKg0TAPJhMg+5QuN5ATYPl7pFLrFoZwUGiLXSkhNYtZfgWmfeAIDnXkccJcfuk+BMe5glQtXo0QnARB8bj/BzheUzXI9Bq4+gM7FmH1l+QddQl9PXwoNDfj08GhM9HPh318NeJ2ovkeeyhcaIt+SQiPvK2hkhlFDSxKNzYheeAWDGbcp+G0F9IvkstUodipeGuph8grMjS0VjRJz+BEJBnpYNXJF39g4W+9NTE0iOjlWQ8nEo1iZU/YhpNAQQmhMO6fGeFqWgLJwufQ51nz5E3pTb9Bv2TcUcSyqdLwM5hS7gnWsNX3KfqZYhrioWL47/iXlm1SjW90B2X7/mReX2Xh3nwaS5V92ptbMrJx/7w4VNi6U42tIoSEUM3fuXOzs7JSOIbSkjFclevwwlNUjfiLgs1n0WzoKG5fc8+df2MGGVw+fK5rhzPZQkuITqenrpWgO8TcbEyv8PGWJcU7IqhOhmGrVquHk5KR0DKFFH9WrQK+fhhP7OpqA3rNIiM49fTbSCo0XivbSKFzchvLNquFeq4xiGYRQN7mjIYTQmrZujTB296aZWx2uXPyL7hXbqu3aD2KeEPr4XKbjhYzNae5U9z/f33BeZQx/MKSwdZFsjXvhxTWuvM7cvtytYHGq25bP1rVw94b+73fqoQcneBb/KnvXF0IBUmgIIbTGyrggxgZGNGnYmCYNG6v12hGJ0Vke19fTx8qk4H9nc/7vc7Jiapj1hE1jA+P3GvdDGepLW3KhG3Sn0DCzAqt3bJP85BqkJGkvjxBCI2KiY7j61xXi4+Mp7uiAawlXpSNpTEpKCtevXOPF8xdYFbbiI08Pndr5Voj3oTt/o0t7Qdvpb399QTN4/SD71y1YFBwrwp3TEKvl25CW9mDvASYFIT4SHlyEmJfazSBELvHi+Qsm+X1L0NpNJMTHpx//yNODSbOm4t2quVYybFy9ntVLV/LLukDKlPPUyDgJCQnMmz6HpT8v4eWLv/+fL2RZiF4DejNm8jhMCxTQyNhCaJvuFBqa0mc1FHaEh39CQCftjFnME7y/AdfqGY+rUuHqYdg7C17d104WIXKByIhIWnu14MqflylkWYi6XvWwKWrDpfMX+fPCJbq26cQPS3+mW+/uah87JSWFQ/tCWL1sFb/u2E1iYqLax/inhPh4Oni3JexIKEZGRtSsUwsXN1euX73O2ZOn+XHO95wIO862kJ06s/utEO+iO4XGuW1pv/6pcnv4ZOqHX1NPP62dN4CFzYdfJztK1YfOC8DQJK2weHoj7S6GjRsUsgOPRuBcBZZ1h+eZJ5jlJePHj8fLy4smTZooHUUobPr4KVz58zLlK1Vgy/4dWNtYp7/m/8Mixgz/htHDvqZJ8ybYFbNX27i//BTAgpnzeHg/7W6ocTYbZH2IOVNnEXYkFFt7OzbsCqJilUrpr+3ZsZteHbpxPPQYS38K4POvhmo8jxCalr+Xt6pSYcNw+GMlbPpK8+NZ2EDHOWlFxuMrsLAVLGoHK/vCvMawe3ra3i9mVu9+TJRHhISEcOvWLaVjCIVFR0WzJnAVALMXzs1QZAAMGDqIqjWrERMdw6qlK9U69q6twTy8/4AqNaoyd9ECQi+dUOv1/y05OZlli34BYOyU8RmKDIAWbXzo3PNTALZs2KzRLEJoS/4uNABuhqU9qriXeVmc2tXsDiYWkJwI676AF3f+8aIKTqxN+wVp80bsP9J8JgVJC3IBcPKP48TGxGJmbkaN2jUzva6np0fz1j4AHAk5rNaxO/f8lLBLJzhw/DC9B/WlkGXOuyC+y81rN3j96jUAdbzqZXlOrTofA3Av/K5GswihLVJoaFOp//+H5d45iHic9TkXd/39cfFyms+kICk0dMtnn33GqlWrSEhIUOt1r/yVtjupg5Njln8foqOiOXPiFABXL19V69hdenbFo6z2mmM5uThz8NQRDp468tbVNLGxaXuVFHd8xyo7IXSI7szRUIeOc8D9LY17Hl+BFRpuMxsXkTbp9M47tqGOevr3x3pSB4rco1ixYvTr148pU6ZQrlw5Ro4cSd26/90I679ERabtEmlTNPM8qcuX/qJXx+7cuHodgIj/vxugq8zMzahUtfI7zwnevB2Aug3rayOSEBqXvwoNY3Mo8JZboybmmh9/RZ//PqeI898fP8/b8xfkjoZuGT16NOvWrePGjRvcuHGDQ4cO4ejoiJeXFyNHjsTNze2DrpuclNb/Rl8/Y2G9cfV6vho0nLjYOOo3asCRg7+RlJS3e+UEb97O74ePYmJqyuARnysdRwi1yF+Fxu+/wPntGY/V7Q/FctG+AlU6pv036mlaX40sPI1KYFtAgBZDacazZ884cuQIKSkpSkcR7+mf+4BEREQQERHBn3/+yapVq3BwcKB///749uiSozESEhIYO8KPwMVLsbSyZMm2QExNTThy8Lecxs/Vbt24xZcD03YJnThzsjw6EXlG/io07p7JfKxSWyCXFBqu1aF82qQ3/liRNmk0C+HPYxg4cqAWg2lOeHg4K1eqdyWB0L7IyEgiIyOZPHkye/b+Cj0+7Dp3w+/S27cHZ0+doWKVSgRuWoVrCVcO7QtRb+Bc5tXLV3Rp1ZGXL17Sun0bBg4brHQkIdQmfxUauZmFNbSbkTYv48ElOL76raeWLV6IU6dOaTGc+DdTU1MK5MPOjS1btuTKlSsZjllaWmJvb0/jxo0ZM2YMhewKY7kx+3M3bl6/ScOqdXn18hW9BvRm5vezMTE1VVf0XCs+Lo5PW/ty4+p1qtasxuJVS+SRoshTpNDIDQyNofMPYFkM4qNgix+kJL/1dHMTQ6pWrarFgELA7du3ef06bTKmqakpTk5OVKpUia+//poaNWqknxeZFJOt6xr/f/fLxw8fUcDMjJ9X+NOlZ9cM56SmpqaNm8eKu5SUFPp2+YwTYccpXeYj1u8MooCZmdKxhFArKTQUpwdtpoBTpbRmXZu+ghfhSocSIpOhQ4eiUqnw8vJi0KBBtG/fHiMjoxxft8j/b8tuaWXJ7qP7stxfJDIiMsO5ecXIwSPYs2M3js5ObN67LVOzMiHyAik0lNZsJFRoDSoVBE9MayAmRC7Uo0cPVq5cSZEi6v1mX65ieQBiY2JxdnXJ8pwrf14GoGyFsmodW0kzJ05n5ZLl2BS1YfPebTg4OSodSQiNkEYNSqrWGWr/f++OkAVwdquyeYR4h86dO6u9yACoXL0KtvZ2JCUlsXndpkyvJyUlpbfjbtGmpdrHV8Jy/2XMnjITi4IWbNi9mVIepZWOJITGSKGhlI+8wGdc2scn16UtvRUiHzIyMmL4NyMAmPjNeH4N3pP+2quXrxjUoz83r93AycUZ326dlYqpNru27WTUF19haGjIT4GLcXMvwetXr7P8FR0VrXRcIXJMHp0owaE8dJwL+gZwaQ/s/k7pRIoIDAykevXqlCuXt1uti/82YNhgTp84zZb1QXRt0wmrwlZYFbbi3p17pKSkYGllybINKzAz1/2JkmNH+KX3junV8d3b3n9crza7juzVRiwhNEYKDW0r4gRdfwYjU7h9AraNTdtFNh9asGABo0aNkkJDYGBgQMCapTRu3oRVv6zgwtnz3LtzD/vixWjq04yR40ZpZQ6DoaFheotwTa1w8Shb5r0nfZb8qJRGMgihTbpTaJhZgdW/OuVZFf/7Y7tSaee8kZoMj/+1AVMRZzAtmPGYyf9/blQAiv9rolnMS4h4lLPc/2RhDT1+AfMi8Pw2bB+XVnAYvaNXQGIcpOTttstCQFoL8k97dePTXt0Uy1C4SGEOnjqi0TE27ArS6PWFyG10p9Ao7QVtp7/99U9/yvh5zEuY869tmJuPhtINsn5/0RIwYGPGYyfXwa5p2Y76VnX7QeH//6nMxg1G7P/v92wdA+d3qC9DLiJ7nQghRN6nO4VGXqAvv93/JIVG/vMiIQJjDf1/EJmU9cTJlNQUXsRrbtfXuOSELI8npCRqdNykVNkjSOgG3fnOd3EXXD34/uf/Y/OndEFfg0E2vuR/7zXSfiaUessdkazcOwtr/7ED4/65cOjH938/pD06ESKPCA4/rPUxo5Ji2XzrgNbHDY96SHjUQ62PK0RuozuFRkoSxOVwrkJibM7eb1Tg7dvMZ+XfW88nxaf9EoDc0RBCiPxAdwqN3GDXFNg35/3Pf8vuqyKNt7c3zs7OSscQQgihQVJoZEf0C6UT5Clz585VOoLQsOtRd4hOzt4ma+LD3Y15rHQEITKRQkMIoTF/PLugdAQhhMKkBbkQQgghNEZPpcpqeYYWqVTqbYqVHxgag4WN0imEEEKI/6R8oSGEEEKIPEsenQghhBBCY6TQEIoJCwvjyZMnSscQGrR161YCAwOVjiGEUJAUGkIxvXv35ujRo0rHEBq0b98+goIybiI2fPhwOnfurFAiIYS2SaEhFCOdQfMna2trihYtmqNrfPPNN5kKGCFE7iR9NIRipNDInyZMmJDja+zfvx8LCws1pBFCaJrc0RCKkUJDCCHyPrmjIYTQqpUrVxIdHc3nn3+e4Xh4eDjz5s3jwoULxMbG4ubmRrt27ejcuXN6QfrFF1+QnJzMvXv3CA4O5sGDB1hYWEg7eyFyMbmjIRQjdzTypyNHjrBv374Mx/bu3UuZMmV4+fIlgwcPZuzYsbi5udGvXz969eqVfp6bmxslSpTA2NiYwoULU6JECVxcXLT9JQghskHuaAjFlCtXDisrK6VjiFzgq6++om/fvixcuDD9WNu2bfHx8cHLy4tevXrRuHFjvv76awDWr19P3bp18fPzUyqyEOI9SaEhFLN9+3alI4hc4s6dO1SvXj3T8fr16zNgwABiY2MVSCWEUAcpNIQQiqtduzb+/v60aNECW1vbDK8tXrxYoVRCCHWQORpCCMUFBgair6+Pm5sbvr6+LFu2jAcPHigdSwihBlJoCCEU5+DgwO+//86pU6eoWrUqv/zyC66urjRt2pSLFy8qHU8IkQNSaAghco0yZcowevRowsLCCA8Px9LSknr16nH79m2lowkhPpAUGkIIRb148YJz585lOu7g4MC6deswNzdn/fr1CiQTQqiDFBpCMRERESQlJSkdQyjsxIkTVK5cmXv37mV6zcjIiIIFC5KQkJDhuImJCYmJidqKKITIASk0hGLKlSvH/v37lY4hFNa4cWPKlClD9+7duXv3bvrxhIQEJk+ezM2bN+nQoUOG95QsWZIjR46QnJys7bhCiGySQkMoRjqDCgBjY2P27duHubk57u7ueHp6Ur16dYoVK8batWvZunUr5cuXz/Ce4cOHc/78eVxcXChTpgxPnjxRKL0Q4r/oqVQqldIhRP7k6OjIkiVLaNGihdJRhIY8f/6c5ORk7O3t0489e/aMlJSUDMfeePToEdeuXSMiIgJXV1fKli2LgYFBltd+8uQJp06domDBgnz88ccYGRlp7OsQQnw4KTSEYo4ePYqnpyfW1tZKRxFCCKEhUmgIIYQQQmNkjoYQQgghNEYKDSGEEEJozP8BXC/I4pGBu8IAAAAASUVORK5CYII=

8.16.1 🟨 Méthodes pour modifier une liste#

  • append(x) ajoute l’objet x à la fin de la liste. L’expression li.append(x) est équivalente à l’affectation li[len(li):] = [x]

  • extend(iter) étends la liste en y ajoutant les éléments de l’itérable iter. L’expression li.extend(x) est équivalente à l’affectation a[len(a):] = [iter]

  • insert(i, x) insert l’objet x juste avant l’élément d’indice i de la liste

  • pop() supprime et renvoi le dernier élément de la liste

  • pop(i) supprime et renvoi l’élément d’indice i de la liste

  • remove(x) supprime de la liste le premier objet dont la valeur est égale à x. Une exception ValueError est levée s’il n’existe aucun élément avec cette valeur.

  • clear() supprime tous les éléments de la liste. L’expression li.clear() est équivalente à del li[:]

  • reverse() inverse l’ordre des éléments dans la liste

  • sort() ordonne les éléments dans la liste, la comparaison entre éléments se fait sur leur valeur

  • sort(key=fonc) ordonne les éléments de la liste, la comparaison se fait entre éléments sur la valeur retournée par la fonction fonc() dont ils sont l’argument

  • sort(reverse=True) ordonne en ordre inverse les éléments de la liste

  • sort(key=fonc, reverse=True) ordonne en ordre inverse les éléments de la liste, la comparaison se fait entre éléments sur la valeur retournée par la fonction fonc() dont ils sont l’argument

exemples :

li = ["zéro", "un"]

li.append("deux")  # ne renvoie rien et ajoute "deux" à la fin
# li est ["zéro", "un", "deux"]

li.extend(["trois", "quatre"])  # ne renvoie rien et ajoute les éléments de la liste
# li est ["zéro", "un", "deux", "trois", "quatre"]

li.insert(3, "deux et demi")  # ne renvoie rien et insère "deux et demi" à l'indice 3
# li est ["zéro", "un", "deux", "deux et demi", "trois", "quatre"]

li.remove("deux")  # ne renvoie rien et retire la première occurrence de "deux"
# li est ["zéro", "un", "deux et demi", "trois", "quatre"]

li.pop()  # renvoie 'quatre' et retire le dernier élément
# li est ["zéro", "un", "deux et demi", "trois"]

li.reverse()  # ne renvoie rien et inverse l'ordre des éléments
# li est ["trois", "deux et demi", "un", "zéro"]

li.sort()  # ne renvoie rien et tri par ordre des valeurs des éléments
# li est ["deux et demi", "trois", "un", "zéro"]

li.sort(key=len)  # ne renvoie rien et tri par longueur des éléments
# li est ['un', 'zéro', 'trois', 'deux et demi']

li.sort(reverse=True)  # ne renvoie rien et tri par ordre inverse des valeurs des éléments
# li est ['zéro', 'un', 'trois', 'deux et demi']

li.clear()  # supprime tous les éléments de la liste
# li est[]

8.16.2 🟨 Méthodes d’extraction d’information d’une liste#

  • index(x) renvoie l’indice du premier élément de la liste dont la valeur est égale celle de x

  • index(x, start) renvoie l’indice du premier élément de la liste dont la valeur est égale celle de x, avec une recherche qui commence à l’indice start

  • index(x, start, end) renvoie l’indice du premier élément de la liste dont la valeur est égale celle de x, avec une recherche qui commence à l’indice start et finissant à l’indice stop exclu

  • count(x) renvoie le nombre d’éléments ayant la valeur de x dans la liste

Exemples :

# indices
#      0    1    2    3    4    5    6    7    8    9    10 
li = ["A", "b", "r", "a", "c", "a", "d", "a", "b", "r", "a"]

li.index("a")  # donne 3
li.index("a", 4)  # donne 5 (recherche à partir de l'indice 4)
li.count("a")  # donne 4 (nombre d'occurrences de "a")

8.17 ⚙️ Exercice - Méthodes de liste 1#

Construire une liste li_2 à partir d’une liste quelconque li_1 et des méthodes de liste pour que la liste li_2soit telle que telle que

  • son 1er élément est la taille de li_1

  • ses éléments qui suivent sont les éléments de li_1 triés en sens inverse

  • son dernier élément est li_1

Exemple pour li_1

li_2 attendue

[12, -4, 32]

[3, 32, 12, -4, [12, -4, 32]]

[23.3, 87.1, 67.5, -23.6]

[4, 87.1, 67.5, 23.3, -23.6, [23.3, 87.1, 67.5, -23.6]]

li1 = [12, -4, 32]
#li1 = [23.3, 87.1, 67.5, -23.6]

# Insérez votre code ici

8.18 ⚙️ Exercice - Méthodes de liste 2#

On cherche à utiliser un objet liste assigné au nom lifo pour coder le comportement d’une pile LIFO (Last In First Out) basé sur le principe où les derniers éléments empilés seront les premiers éléments sortis à l’instar d’une pile d’assiettes.

Proposer un code qui utilise les méthodes de liste pour faire la succession d’actions suivantes :

  • empiler l’entier 3 dans lifo

  • empiler la chaine "IV" dans lifo

  • empiler le flottant 5.0 dans lifo

  • dépiler un élément de lifo et l’afficher

  • dépiler un élément de lifo et l’afficher

  • dépiler un élément de lifo et l’afficher

Résultat attendu :

5.0
IV
3
lifo = ["un", "deux"]

# Insérez votre code ici

8.19 🟨 Comparaison de listes#

Pour comparer deux listes entre elles, les six opérateurs de comparaison sont applicables : ==, !=, >, <, >= et <=.

  • == deux listes sont égales si elles possèdent le même nombre d’éléments et que ceux situés aux mêmes indices sont égaux.

  • != deux listes sont différente si elles ne sont pas égales au sens de la définition précédente

  • >, <, >=, <= les comparaisons utilisent l’ordre lexicographique, comme l’ordre des mots d’un dictionnaire de la langue française : les deux premiers éléments de chaque liste sont comparés et, s’ils diffèrent, leur comparaison détermine le résultat de la comparaison des listes; s’ils sont égaux, les deux éléments suivants sont comparés à leur tour et ainsi de suite jusqu’à ce que l’une des listes soit épuisée. Si tous les éléments d’une liste sont les éléments du début de l’autre liste, alors la liste la plus courte est celle dont la valeur est inférieure. Si deux éléments à comparer sont eux-mêmes des séquences du même type, alors la comparaison lexicographique est effectuée récursivement.

Exemples :

[1, 2] < [2, 2]  # donne True, car à l'indice 0, 1 < 2
[1, 2, 3] < [1, 2, 4]  # donne True, car à l'indice 2, 3 < 4
[1, 2, 3] < [1, 2, 3, 4]  # donne True, car [1, 2, 3] est le début de [1, 2, 3, 4]
[1, 2, 3, 4] < [1, 2, 4]  # donne True, car à l'indice 2, 3 < 4
[] < [1, 2]  # donne True, car [] est le début de [1, 2]
[1, 2, [3, 4]] < [1, 2, [4, 5]]  # donne True, car à l'indice 2, [3, 4] < [4, 5]

8.20 🟨 ⚙️ Exercice - Comparaison de listes#

On se propose de trier mentalement, c’est-à-dire sans l’aide directe de l’interpréteur Python, un ensemble de listes dans l’ordre décroissant et de vérifier le résultat en affichant la comparaison enchainée des listes ordonnées. Voici un exemple avec les chaines [], [1], [2], [1, 1], [1, 1, 2] et [1, 2, 3]. Le code de vérification attendue est :

[2] > [1, 2, 3] >  [1, 1, 2] >  [1, 1] > [1] > []
True

Les listes à trier dans l’ordre décroissant sont : [3, "ab", [2]], [3, "AB"], [3], [3, "abc"], [], [3, "ab", [2, 3]], [3, "a"], [2, 1]

# Insérez votre code ici

9. N-uplets#

9.1 Introduction aux n-uplets#

Un n-uplet (tuple en anglais) Python est une collection ordonnée et immuable d’objets arbitraires. Les n-uplet sont très semblables aux listes , mais après sa création, un objet de type n-plets ne peut plus être modifié à l’instar des chaines de caractères. Les principales caractéristiques des n-uplet dans le langage Python sont :

  • collection d’objets arbitraires

  • immuable (objet non modifiable)

  • séquence (itérable, accessible par indice et tranchage)

Pour créer un objet de type tuple, il existe trois moyens :

  • l’agencement en extension (les éléments sont listés explicitement)

  • le constructeur d’instances de n-uplets tuple()

  • les expressions à base d’opérateurs et de fonctions (exemples : +, *, sorted())

Il faut noter que les n-uplet ne se construisent pas par un agencement en compréhension. En cas de besoin, le codeur pourra utiliser une expression génératrice, comme (2*x for x in range(10)), qui renvoie un objet de type générateur et non pas un n-uplet.

9.2 Agencements en extension de n-uplets#

Syntaxe : (expression_1, expression_2 ... expression_n, ) - Les parenthèses sont optionnelles sauf si le n-uplet est vide, dans ce cas le n-uplet s’écrit (). La dernière virgule est optionnelle sauf s’il n’y a qu’une seule expression.
Sémantique : en allant de gauche à droite, de l’expression_1 à l’experssion_n, les expressions sont évaluées et donnent respectivement les objets objet_1, objet_1objet_n. L’objet tuple résultant est la succession ordonnée des références aux objets objet_1, objet_1objet_n. Les éléments d’un n-uplet ne sont pas obligatoirement tous du même type. Exemples :

(1, 2, 3,)  # donne le n-uplet (1, 2, 3) contenant 3 entiers
(1, 2, 3)  # donne le même n-uplet (1, 2, 3) contenant 3 entiers
(1,)  # donne le n-uplet (1,) contenant 1 seul entier (virgule obligatoire)
()  # donne le n-uplet vide ()

Lorsque les l’agencement en extension de n-uplet n’utilise pas de paranthèses, on parle d’agrégation de n-uplet (tuple packing en anglais), les valeur séparée par une virgule sont agrégées ensemble pour former un objet de type tuple.

1, 2, 3,  # s'agrège dans le n-uplet (1, 2, 3)
1, 2, 3  # s'agrège dans le n-uplet (1, 2, 3)
1,  # s'agrège dans le n-uplet (1,) contenant 1 seul entier

Comme les n-uplets sont des collections qui pointent sur d’autres objets de l’espace des objets, ils peuvent contenir d’autres collections comme une liste ou un n-uplet. Exemple avec son illustration :

("Châtelet - Les Halles", ["RER", "A", "B", "D"], ("Métro", 1, 4, 11, 14))

L’illustration graphique de ce dernier n-uplet dans l’espace des objets de l’interpréteur Python est présentée ci-dessous.

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

Tout comme les listes, en tant que séquence d’objets, l’indiçage et le tranchage s’appliquent aux n-uplets. Exemples :

tu = ("Châtelet - Les Halles", ["RER", "A", "B", "D"], ("Métro", 1, 4, 11, 14))
tu[0]  # donne la chaine 'Châtelet - Les Halles' (l'élément d'indice 0)
tu[1:3]  # donne le n-uplet (['RER', 'A', 'B', 'D'], ('Métro', 1, 4, 11, 14))
tu[2][1:]  # donne le n-uplet (1, 4, 11, 14)

Les n-uplets ressemblent beaucoup aux listes. Les points qui les différencient sont :

  • les objets de type tuple sont immuables, la séquence des éléments qu’ils contiennent ne peut plus changer après leurs créations, alors qu’il est possible de le faire pour les objets de type list.

  • les objets de type tuple prennent moins de place en mémoire que les objets de type list au cours de l’exécution du programme.

  • les objets de type tuple permettent un accès plus rapide à leurs éléments que les objets de type list au cours de l’exécution du programme.

9.3 Constructeur d’instances de classe tuple()#

Syntaxe : tuple(iterable)
Sémantique : Instancie un objet de type tuple dont les éléments sont obtenus en itérant entièrement sur un itérateur construit à partir de l’objet iterable. Si l’iterable n’est par fourni, le constructeur d’instances renvoie le n-uplet vide de longueur 0.

Exemples :

tuple()  # n_uplet vide ()
tuple(range(5))  # n_uplet d'entiers (0, 1, 2, 3, 4)
tuple("Bonjour")  # n_uplet de caractères ('B', 'o', 'n', 'j', 'o', 'u', 'r')
tuple([1, "deux", 3.0])  # n_uplet (1, 'deux', 3.0) à partir d'une liste

9.4 Expressions avec des n-uplet#

Il est possible de construire des n-uplets à partir d’expressions à base d’opérateurs (ex : +, *)

  • (1, 2, 3) + ("a", "b") donne (1, 2, 3, "a", "b") (concaténation de deux n-uplets)

  • 3 * (1, 2) donne (1, 2, 1, 2, 1, 2) (réplication en 3 exemplaires du n-uplet (1, 2))

Bien qu’elle ne renvoie pas un n-uplet, la fonction native len() s’applique aux n-uplets, comme à toutes les séquences

  • len(tu) renvoie le nombre d’éléments du n-uplet tu
    exemple : len((1, 2, [3, 4])) renvoie 3 (2 entiers + 1 liste)

9.5 Attributs-méthode de n-uplets#

Les objets de type tuple disposent de plusieurs attributs-méthodes (méthodes) qu’il partage avec les autres conteneurs de type séquence.

  • index(x) renvoie l’indice du premier élément du n-uplet dont la valeur est égale celle de x

  • index(x, start) renvoie l’indice du premier élément du n-uplet dont la valeur est égale celle de x, avec une recherche qui commence à l’indice start

  • index(x, start, end) renvoie l’indice du premier élément du n-uplet dont la valeur est égale celle de x, avec une recherche qui commence à l’indice start et finissant à l’indice stop exclu

  • count(x) renvoie le nombre d’éléments ayant la valeur de x dans le n-uplet

Exemples :

# indices
#      0    1    2    3    4    5    6    7    8    9    10 
tu = ("A", "b", "r", "a", "c", "a", "d", "a", "b", "r", "a")

tu.index("a")  # donne 3
tu.index("a", 4)  # donne 5 (recherche à partir de l'indice 4)
tu.count("a")  # donne 4 (nombre d'occurrences de "a")

9.6 ⚙️ Exercice - manipulation de n-uplet#

Soit le n-uplet tu = (2, 1, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2)

  • Vérifier que le n-uplet tu est bien immuable en essayant de changer la valeur d’un de ses éléments.

  • Contruire à partir de tu, un nouveau n-uplet qui respecte les comtraintes suivante

    • son 1er élément est le nombre d’élément de tu

    • son 2e élément est un couple (n-uplet avec n=2) formé par le 1er élément de tu et par son nombre d’occurences dans tu

    • les éléments suivants sont les éléments de tu trier dans l’ordre décroissant

Le resultat attendu est (12, (2, 5), 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1)

tu = (2, 1, 2, 3, 1, 3, 1, 2, 2, 1, 3, 2)

# Insérez votre code ici

9.7 🟨 Comparaison de n-uplets#

La comparaisson de n-uplet entre eux est identique à la comparaison des listes entre elles (voir ### 8.19 Comparaison de listes)

Exemples :

(1, 2) < (2, 2)  # donne True, car à l'indice 0, 1 < 2
(1, 2, 3) < (1, 2, 4)  # donne True, car à l'indice 2, 3 < 4
(1, 2, 3) < (1, 2, 3, 4)  # donne True, car (1, 2, 3) est le début de (1, 2, 3, 4)
(1, 2, 3, 4) < (1, 2, 4)  # donne True, car à l'indice 2, 3 < 4
() < (1, 2)  # donne True, car () est le début de (1, 2)
(1, 2, (3, 4)) < (1, 2, (4, 5))  # donne True, car à l'indice 2, (3, 4) < (4, 5)

10. Dictionnaires#

10.1 Introduction aux dictionnaires#

Un dictionnaire Python est une collection modifiable de paires clé-valeur au sein desquelles les clés doivent être uniques. Contrairement aux listes ou au n-uplets, qui sont indicés par une plage de nombres, les dictionnaires sont indicés par des clés presque arbitraires du moment qu’elle sont unique dans un dictionnaire, et qu’elle ne change pas de valeur, ni elles ni leur éléments. Les types natifs qui conviennent pour les clés sont les chaînes de caractères, des nombres ou des n-uplets qui ne contient que des immuables (chaînes de caractères, nombres ou n-uplets). Depuis, Python 3.7, les objets de type dict sont officiellement des séquences ordonnées, qui préservent l’ordre d’insertion des paires clé-valeur.

Pour créer un objet de type dict, il existe quatre moyens :

  • l’agencement en extension (les couples sont listés explicitement)

  • le constructeur d’instances de classe dict()

  • l’agencement en compréhension

  • les expressions à base de l’opérateur |

10.2 Agencements en extension des dictionnaires#

Syntaxe : {clé_1: valeur_1, clé_2: valeur_1,  ... clé_n: valeur_2, ] (la dernière virgule est optionnelle) et {} est le dictionnaire vide de longueur égale à zéro.
Sémantique : en allant de gauche à droite, les valeurs (un objet qui peut être donné sous la forme d’un littéral ou d’une expression) sont associées à leur clé respective. Une clé doit être unique dans un dictionnaire, mais peut être de n’importe quel type du moment qu’il possède une valeur de hachage et qu’elle reste constante. Concrètement, les types natifs qui conviennent pour les clés sont les chaînes de caractères str, des nombres int, float ou complex ou encore des n-uplets tuple qui ne contient que des immuables (chaînes de caractères, nombres ou n-uplets). Exemples :

# dictionnaire de 3 éléments, les clés sont toutes des entiers
{1: "un", 2: "deux", 1000: "mille"}

# dictionnaire de 3 éléments, les clés sont des chaines de caractères
{"latitude": 48.7123, "longitude": 2.1641, "altitude": 82}

L’illustration graphique de ces deux dictionnaires dans l’espace des objets de l’interpréteur Python est présentée ci-dessous.

data:image/png;base64,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

Les dictionnaires sont des objets qui supporte indiçage grâce à leurs clés, y compris avec le sucre syntaxique []. Exemples :

{1: "un", 2: "deux", 1000: "mille"}.__getitem__(1)  # donne "un"
{"latitude": 48.7123, "longitude": 2.1641, "altitude": 82}["longitude"] # donne 2.1641

d = {"latitude": 48.7123, "longitude": 2.1641, "altitude": 82}
d["altitude"]  # donne 82

10.3 ⚙️ Exercice - Agencements en extension de dictionnaires#

Construire par agencement en extension la structure de donnée illustrée ci-dessous

data:image/png;base64,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
# Insérez votre code ici

10.4 Muabilité des dictionnaires#

Les dictionnaires font partie des objets Python mutables (mutable en anglais), cela signifie que leur valeur peut changer sans que leur identité ne change. La “valeur” d’un dictionnaire est sa séquence de paires clés-valeurs, la modifier permet :

  • d’ajouter une paire clé-valeur au dictionnaire

  • de retirer une paire clé-valeur au dictionnaire

  • de changer la valeur associée à une clé du dictionnaire

Les codes qui suivent donnent un exemple de ces changements en les appliquant successivement au même dictionnaire, avec une illustration graphique de l’état de l’espace des objets après chaque exécution. On notera que l’identité du dictionnaire reste la même après chaque changement de sa séquence d’objets.

# Création d'un dictionnaire vide par agencement en extension 
# et assignation au nom correcteur
correcteur = {"Kp": 5.2, "Ki": 0.0}
print(f"{id(correcteur)=}, "f"{correcteur=}")
id(correcteur)=1669253795392, correcteur={'Kp': 5.2, 'Ki': 0.0}
data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcoAAAEaCAYAAACRohfzAAAACXBIWXMAAB7CAAAewgFu0HU+AAAAGXRFWHRTb2Z0d2FyZQB3d3cuaW5rc2NhcGUub3Jnm+48GgAAIABJREFUeJzs3XdcU9f7B/BPElbYQxmyhyAIbtwLK6g40NZWq/bbqnXW0eJeRatYcXRY96qzVq17oOLeCyfIkqGy997h+f2RH9GYhKGBMM779fIlufecc5+s++Tce8+5HCIiMAzDMAwjFVfRATAMwzBMXcYSJcMwDMNUgCVKhmEYhqkAS5QMIydnz55Fv379FB0GwzByxhIlw8hJTk4OYmNjFR0GwzByxhIlw8gJEYHD4Sg6DIZh5IwlSoaRE5YoGaZhYomSYRiGYSrAEiXDyAnrUTJMw8QSJcPICUuUDNMwKSk6AIZpKPr27Qs7OztFh8EwjJxx2FyvDMMwDCMbO/TKMAzDMBVgiZJhGIZhKsASJcMwDMNUgCVKhmEYhqkAS5R1xLFjx7B27VpFh8EwjBwsXLgQv//+u6LDkIsZM2Zg+/btig5DoSSGh/z2229ITk6uUmVvb28YGhrKPajG6MKFC7h27Rpmz56t6FCYj3Tt2jWcP38eq1atUnQoAACBQICvv/66SmWVlJTwzz//1HBEjcfly5dhZWWl6DDkwt/fHyUlJdWqU1paii5duqBbt274448/aiiy2iORKHfu3Im0tDS4uLhUWrmgoKBGgmKY+igqKgqXL19WdBgiZWVlOHLkCFxdXdG2bdsKyyopsSHVjPyUlpYiPj4e0dHRcmnv0qVLCA8Px9SpU+XSXnVJ/Xb07NkThw8fru1YGKZeq6sz83h5eWHRokWKDoNpRNTU1BAXFye39k6dOoUTJ04oLFGyc5QMwzAMUwG5H28hIsTHxyM+Ph6amppwcHAAl1t5Pi4pKUFERATy8/NhbW0NAwODSusUFhYiLCwMRUVFMDQ0rPI5gfT0dLx+/RocDgeOjo5QVVWtUp2YmBjw+fwqPydpiAjh4eHIzs6Gubk5jI2Nq1w3OTkZb968gY6ODpo3b15p+cLCQkRFRSEvLw9WVlZo2rTpR8Vcrri4WPQe2dnZQU9Pr9I6RUVFiImJQU5ODqysrNCkSZMqby8lJQVv3ryBhoYG7OzsJA4PlpSUIDIyEjk5ObCwsICRkVGV21RWVkaLFi2goqJS5XgqU1d7lJ8iLi4OoaGhSE9Ph76+Pjp37gwNDQ2JchkZGcjNzYW5uTkAIDIyEsHBwRAIBGjZsiXs7e0r3VZQUBBCQ0NBRLCwsECHDh3A4/EqrFNUVITAwEDEx8eDz+ejU6dOlX7GiouLERgYiNjYWOjr66Nr167g8/mVxidNUlISHjx4gJKSEtjZ2aFVq1ZVqpeXl4dHjx4hOTkZxsbG6Ny5M5SVlWWWLykpwcuXLxETE4PS0lI4OjrCycnpo2IGgISEBAQFBSEzMxPm5uZwdXWt9LUGhIfzHz58iLdv30JDQwNdu3aFjo6O1LJv3ryBurq6zPejtLQUgYGBePv2LbS1tdG1a1doamqKlYmKigIAZGVlobS0VPRYS0tL6v4sPDwcr169Ql5eHszNzdGhQwf5nFagDzg5OdGXX3754eJKlZWV0erVq6lp06YEQPSvadOmtGrVKhIIBGLljx8/TgAoLS2NVq9eTU2aNBHV4fF4NGzYMEpISJC6rbS0NJowYQKpqamJbatFixZ07tw5mTE+ffqUPDw8iMPhiOqoq6vTTz/9RPn5+VLrhIaG0uDBg8XqGBkZ0caNG6v9Gp08eZKsrKxE7XA4HOrZsycFBwfTxIkTyd7eXmq9+/fvU8+ePcWeq7W1NR0+fFhq+ejoaBo8eDBxuVyxOj169KDAwMAqxzty5Ehyc3MjgUBAfn5+Eu/R//73P8rLy5NaNysri2bMmEGamppiz7dHjx50//59qXUA0KZNmygqKooGDBggFr+xsTHt2bOHiIhKS0tp5cqVZGhoKPb8+vXrR3FxcVLbPnToENna2oqV19DQoBkzZlBOTk6VX5OKbNu2jTp16iSXtuShuLiYANCKFSuqXTcpKYmGDBlCHA6H1NTURN9rbW1t+vXXX6msrEysvI+PD1laWlJCQgINHDiQAJCWlhapqqoSABo4cCClpqZK3datW7fIxcWFAJCenh7p6uoSALKysqKLFy/KjHHr1q1kbGxMysrKZGRkRDwej1RUVGj69OlUUFAgtc7+/fvJzMyMVFRUyMTEhJSVlUlHR4c2b95crdenpKSEZs6cSTwej5SUlEhHR4cAkKurK4WEhFDHjh3pq6++klr3t99+IwMDA1JTUyMTExPi8XhkbGxMR48elVr+2LFj1KxZM9H+tHy/165dO3r69Gm14k5JSaGRI0eSkpISaWhoiN7X979fH7Kzs6PJkyfTtWvXyMbGhjgcDunp6RGXyyU+n09r1qyRWs/a2pp++OEHqetOnjxJtra2pKysTCYmJqSqqkoaGhq0atUqUZmysjKx7+v7/8aOHSvW3rNnz6hdu3aiz135+2Fqairzda0OuSVKb29vUlJSouXLl1N0dDTl5eXRy5cvaebMmcThcGjq1Kli5csT5VdffUWdOnWic+fOUWJiIsXHx9PWrVtJT0+PnJycKDc3V6xeSkoK2dvbk42NDR08eJASExMpLy+PHjx4QAMHDiQej0cXLlyQiO/WrVukpaVFAwYMoPv371NeXh5FR0fTX3/9RTo6OtSrVy8qLi4Wq3Pv3j3S09OjwYMHU2BgIBUWFlJMTAwtXryYuFwu+fj4VPn1OXHiBPF4PBo4cCA9ePCAMjIyKDQ0lHx8fMjIyIjc3NykJspTp06RmpoajR07ll6+fEmFhYUUHh5OkyZNIg6HQzt37hQrn5SURM2aNSMXFxfy9/entLQ0Sk1NpbNnz1Lr1q1JQ0ODHj9+XKWYR44cSd27d6exY8eSq6srXbhwgZKSkig8PJxWr15NSkpKNGnSJIl6CQkJ1LJlSzI1NaW9e/dSamoqZWVl0eXLl6lHjx6kqqpKp0+flqgHgLy9vcnMzIyWLFlCYWFhlJKSQnfu3CE3NzficDgUEBBAw4cPJycnJzpx4gTFxcVRdHQ0HThwgAwMDMjV1VViJ/73338Th8OhiRMnUnBwMOXl5VFUVBStWrWKNDQ0qFevXlRaWlql16QiW7dupc6dO39yO/LysYmyuLiYWrduTZaWlnTp0iXR8uTkZPrxxx8JAC1btkysjo+PD+nq6lLr1q3pxx9/pPj4eCIiKioqoj179pCWlhZ16dJF4nW+cuUKqaqq0rBhw+jVq1ei5REREdS/f39SUVGR+uNuxYoVpKSkRH5+fpSVlUVERAUFBbRlyxbS0tIiLy8viTqrV68mFRUVWrdunegHXnZ2Ni1evJg4HA5t2LChyq/RlClTiMfj0dq1a0X7qIyMDPL19SULCwuytraWmih/+OEH0tLSoj179lBRUZHodZ0wYQJxuVw6efKkWPnz588Tl8ulcePGUWJiIhEJE8j169fJ2dmZdHV1KSYmpkoxx8fHk42NDdna2tKFCxdEnZe4uDiaPHkyAaBff/1Vop6dnR117tyZjI2Nafv27aJORWpqKnl7exMA+vPPPyXqyUqUO3bsICUlJVq6dKnovcvLyyM/Pz/i8Xi0dOlSUdn09HRKT0+nCRMmkKmpqejx+3nh7du3pKenR927d6egoCDR8rCwMBo0aBBxuVw6c+ZMlV4jWeSSKNPS0khJSYmWLFkidf2CBQuIw+FQZGSkaFl5ouzWrZvUX3+3bt0iLpdLP//8s9jy6dOnk46ODr1+/VqiTklJCbVt25Y6duwotrygoICaN29OAwYMkLpDvHbtGvF4PNq0aZNoWW5uLtnY2NCgQYMkesNERMuWLSMejyf2xsiSl5dHxsbG9Nlnn0nd/okTJwiARKKMj48nPT09iR8Z5caNG0caGhqUnJwsWrZ8+XJSUlKS2htPS0sjMzMzGjJkSKUxEwkTpaqqKvXp04cKCwsl1k+aNIlUVVUlepXDhg0jQ0NDio6OlqhTXFxMgwcPJl1dXdHOtFx5T1VaTzkvL4/MzMxIT0+P2rRpI/UIwM6dOwkA3b17V2y5lZWVzOd88OBBAkAnTpyQur46Xr58ScePH//kduTlYxPlxYsXCYDM3tyYMWNIU1NT7DPh4+NDAGjx4sVS6xw7dowA0K5du8SWt2nThjp37iz1e5GTk0PNmjWj0aNHiy0PDg4mZWVl+u2336Ru6/DhwwRA7OhSYGAgKSkp0fr166XWmThxIqmrq8vs9b7v4cOHxOFwpCYVIqLt27eLOgHvO3XqFAGQSIbl+vfvT6ampmI/2AcOHEjOzs4SP/6IiGJjY0lNTY1mz55dacxE776XsbGxUtcvWLCAeDwePXz4UGy5nZ0dcblcunXrltR6Y8eOJU1NTUpLSxNbLi1RRkREkLq6usR+/f0YlJSUJPYd06dPJ3Nzc6l1fH19icfjSX3vioqKyMXFhbp27Sq1blVJTZQ2NjY0ceJEmf8+3HGHhIQQAJmHAsPDw6lv3750+/Zt0bLyRPn+sg8NHz6cTE1NxT4kCxcupOXLl8us4+PjQzweT+yL999//xEAevnypcx67u7u5ObmJnq8ceNGUlVVpbdv30otn5+fT4aGhjRr1iyZbZY7cOAAAaAHDx7ILOPp6SmRKOfOnUtGRkaUnZ0ttU5iYiIpKyuL/ZqbPHkyNWvWTOZ2/Pz8aMyYMZXGTESiQzTv/8B5n7+/PwGg4OBg0bLnz59L3SG+Lz4+ntTV1WnBggViywFQ7969Zdb7/vvvCQBdvXpV6vq0tDQCQDt27BBbrqKiQosWLZJap6ioiDw8PGj//v0yt1tflSdKW1tb6tu3r8x/H+7MDh06VOH35c6dOzRx4kSxHZOPjw+pqqrKPIVBRNS2bVuJ93fhwoV0/vx5mXW+/PJLcnFxEVvm7e1NxsbGVFJSIrOeubk5TZkyRfR41KhR5OLiIvVHL5HwKAiHw6GtW7fKbLPctGnTSEdHR+bh3bKyMrK3t5dIlN26dSNPT0+Z7T548IAAiL0eXbt2JQ8PD5l1VqxYUaXTQBEREQSAtmzZIrNMYWEhmZmZ0YgRI8SW29nZVfjjOioqSuprJy1RTp8+nSwsLES96Q9lZ2cTn88nX19fiXqyEuXs2bNJS0tL6o8JIuGPYW9vb5nxV4XUK1KKi4uRkZFR4b/3WVlZQV9fH3///TeKi4sl2mvevDkCAgLQtWtXiXUVTVgwYMAAxMXFISYmRrTM19cXixcvllnH2NgYAoFAbIzn2bNnYW9vD0dHR5n15s+fjxEjRogeHz16FJ07d4aZmZnU8nw+H66urrh3757MNsvduHED+vr6cHV1lVlG2naOHj2Kfv36QUtLS2odIyMjODg44P79+6Jl7dq1Q3x8PE6fPi21zty5c7Fv375KYy7XunVr2NjYSF1XfuHGmzdvxGJWU1OrcKC7iYkJ+vXrhzNnzkis69+/v8x65ubm4PF4Uj9HAKCvrw8NDQ28fv1abHm7du3w33//SXxuAUBFRQUXLlzA6NGjZW63vjM1NUX79u1l/mvRooVY+fILS1auXInCwkKJ9rp06YKtW7dKXHCnrKxc4UUxbm5uePjwIcrKykTLfH190a9fP5l1DAwMJMZrX7hwAe7u7hVepLF//37Re1pWVoZTp07B09NT5kV4xsbGsLKyQmBgoMw2y925cwedOnWCmpqa1PUcDge6urpiy5KTk3Hnzh0MGjRIZrtt2rSBqqqqWAw9evTA9evXcenSJal1Fi1aVKUhE6dOnQKXy8XIkSNlllFVVcXw4cMREBAA+uDui82aNZNZz9raGmZmZlXaF544cQLu7u4yL6LT0tJCy5Ytq/Q+lOvZsydycnKwdu1asc9WuZEjR2LdunVVbk8aqZ+0Ll26VGscpZqaGnbt2oXRo0fD3t4eY8eOhaenJ9q3b//RV4cCgKWlJQAgJiYG1tbWYuuICE+ePMGLFy+QmpqK0tJSABBLGuXevHkDBweHCrfVp08f9OnTR/Q4LCwMxsbGmD9/vsw6CQkJyM7OrvR5REdHw9TUtNJy7yspKUF0dDQsLS0rjKGgoABJSUmix9999x38/f3h5eWFQYMG4YsvvkD//v2rdEWoNBW9f+U7qvdn7Xj16hUcHR1l7kTKtW/fHmfOnJG4UrSiq0a5XC64XG6FV6oqKSlBIBCILduyZQv69+8PW1tbjB07FgMHDkT37t3lesVrXebh4VGtcZQWFhbYvXs3Jk6ciMuXL2P48OHw9PREr169Pvrq0PJ28/LykJGRIZFkk5KScPHiRYSFhSE9PV30Ht68eVOinbi4OAwfPrzCbfXs2VP0d3JyMnJzc3H16lV89dVXMuvk5OQgNTW10ufx9u3bKl/dWi46OhpEhMOHD+Pq1asyy/F4PLEYfv75ZwQHB8Pd3R29evXCkCFDMGDAgAp/9MvavoWFhcwrVMs5OzsjPT0daWlp1bpC3czMDLGxsRWWKS4uRmxsLB49elTh+5CQkCD1ympZBg8ejIULF2L+/PnYvXs3Pv/8c3h6eqJjx45VupK3KuQ2PMTLywvBwcHYtm0bDh8+jKVLl6JJkyYYPHgwpk+fXunMINKU9zZzcnLElh8+fBjz5s1DXFwcnJycYG5uLvoCf9ibAIRDO6o7NCIlJQXq6uoV/rLR19evNAEDwkvBqzMMBABSU1NRVlaGlJSUCmOwtraGs7Oz6LGysjKOHTuGM2fOYPfu3fjxxx+RlZWFNm3aYMyYMZg4caLEJdjylJqaWqVhIwYGBigpKUFeXl6NxgMIe8UvX77Ejh07cPToUfz555/g8/lwd3fHlClT4O7uXqPbr49GjRoFNzc37N27F+fOncPWrVvB4/Hg6emJOXPmoFOnTtVuU19fH4Dw+1CeKAsLCzFr1ixs27YNZmZmcHV1hampqWjIlqqqqsT0aVlZWdVK2GlpaQCAJk2aVPjZ/Pzzz6uUAPPz86s9dWd5DIaGhhK9zfeNGTMGHTt2FD1WV1fH6dOncfXqVRw8eBAbN27ErFmzYGlpiXHjxuGnn36SecTpfRkZGdDW1q60XPnrk5OTU61Eqa+vj/T09ArLpKeng4hgYGBQ4fswcOBA2NraVnnbgPDIxJgxY7B7926cPXsWK1euhI6ODkaOHIm5c+d+8nSCch1HaWlpCV9fX/j6+iI+Ph7nz5/Hli1b4OrqilWrVlV7HtPyX1bvfyl27tyJCRMmYNasWfD29oaJiYlYnS1btmDKlCliy9TV1VFUVFStbWtoaGD06NHw8fGpVj1p+Hx+lXqeH24fAH766SeMHTu22tscNGgQBg0aBIFAgIcPH+LEiRNYunQpNmzYgEuXLsk8nPqp1NXVkZiYWGm5vLw8KCsrQ11dvUbi+JCenh7mzJmDOXPmIDMzE5cuXcKePXvg4eGBcePGYfv27Z909KMhMjExwbx58zBv3jzk5ubi8uXLWLNmDbp164ZNmzZh4sSJ1Wqv/HPxfm9hzJgxuH79Ov777z8MHjxY4j3IysqSOOyoqalZrekzyxPT+PHj8fnnn1crZmk0NTVFia+6McydOxft27ev9jbd3Nzg5uYGAIiIiMDhw4exbt067Nu3Dzdv3qz0h7i2trZEh0OazMxMAKjSOPb3JSYmin4IyaKjowMOh4ORI0diwoQJ1Wq/KhwdHeHn5wc/Pz8kJyfj9OnTWLVqFfbt24fz58+jW7duH912je0ZmjVrhnHjxuH+/fuYMGEC5s6di9DQ0Gq1Ud6VLz9sKRAIsGjRIowbNw5r1qyRSJKymJmZiZ1HqwoLCwuEh4dXq05F26/ssMSHtLW1oaur+8kx8Hg8dO7cGatWrcLz58+Rn5+PH3744ZParIi1tTXCw8MlznF8KCQkBObm5gpJTrq6uhg+fDhOnz6NjRs3YteuXTh69Gitx1GfaGpqwsvLCzdv3oSXlxe8vb2r/eMvNjYWWlpaot5EeHg4jh49it9//x1eXl5V/ixYWVmJBp5XhbGxMdTU1BAUFFSteCvafnW/z+U9GnnE0Lx5cyxatAi3bt1CQkICfH19q1TnzZs3lb5nL168gIGBQZV6n++Li4uDhYVFhWX4fD6MjIzk9j5UxNDQEOPHj8fjx49hbm6OGTNmfFJ7ctlLnT9/Hhs2bJC6jsPhYM6cOSAiqecPK9qh3rlzB7q6uqLDm0lJSUhKShI7//ChrKwsiWXdu3fH8+fPkZKSIrPevHnzxE60e3p64ty5c1X6FVaZLl26ID4+Xuph4XLl51jfN3DgQPz3338S59wqasPPz0/mSXUrKyuMGDECd+/erVrgH6Fv375IS0vDtWvXZJYpKirC6dOnMXDgwBqLo9zjx4/h5+eH/Px8qesnT54MbW1tubwmd+/exZYtWz65HUVbtWqVzFtEcTgcfPfdd8jLy8OrV6/E1gkEAqkXU5S7cuUKunTpIkqIERERAFDhDRikzRfau3dvBAQESP3OlGvVqhXGjx8PQPhjcfDgwfjnn3+q/F2qSI8ePXD37t0Ke7UfrmvWrBk6duyIvXv3Vnk70dHRmDRpEp4/fy51vZOTEzp16oRnz55V2lb//v1RVlaGQ4cOySxTXFyMI0eOYOjQoRLrpO1Xy4WEhCAxMbFKPbahQ4fi8OHDUi8S+xhEhClTpuD48eNS12tpaWH48OF4/vx5pT/eKyKXRPns2TNMnz5d9MH/UPkhF2nH5nfu3Cm1Tnx8PPbv34+vv/5adEJWW1sbSkpKePLkidQ60dHRWLNmDQDxC0y+/vprqKmp4ddff5VaLz09Hfv27RM73zhhwgSUlJRUeLj49OnTVTr5P3z4cGhoaMjc/ps3b/Dff/9JLJ8+fTqio6Ph5+cns+1Dhw6JkoCSkhLWr1+P5cuXyyyfmJhY4TmST9WvXz84OTlh9uzZMr8MK1asQGZmJiZNmlRjcZRLSkrC/Pnz4e/vL3V9VlYW8vPz5fKaBAYG4uDBg5/cjqK9evUKy5Ytk/nDMjg4GBwOR+JwX0FBAdavXy+1ztGjRxEUFCRKXsC7I0XXr1+XWmf//v04ffq0xGmTKVOmIC0tTWYyv379OoKCgjBkyBDRslmzZiEyMhJLly6VWqe0tBQrV66s9DwbAIwdOxZ5eXky7x/777//4sWLFxLL58+fjytXrmDHjh1S6+Xl5cHX11eUZHV0dLB7925s3rxZavmioiJERkZWeEVqOUdHRwwZMgRLliyROVn5zz//jJSUFMycOVNi3ZEjR/Do0SOp9ZYuXQpdXV188cUXlcYxc+ZMZGVlwdvbW+p6IsLq1aslTt/o6ekhIyNDItlxOBzcuXMHvr6+Mm8FFhwcDGNj40+bXvLD8SJOTk7k5eUlmgGhon/l45hSU1PJ1NSUHB0d6c6dO2Lt3b17l5o3b07W1tZiA9PLx1E2a9aM5s+fTxkZGaJ1ISEh1Lp1a2rSpInEwPlRo0aRsrIy7dy5UzQmqrCwkP7++29q2rQpdevWjQBIDFjdtWsXcTgc8vHxEYsjKCiIunbtShYWFpSUlCRWZ+fOnaJZMd4f1J+VlSUaNxYQECBz7M37/vjjD9GMJuVjzcrKyiggIICsra3J1tZW6sw8S5cuJQ6HQ/PnzxcbT5mcnExTpkwhLS0tevbsmWj55s2bCQD99NNPYgOA8/LyaOXKlcThcGjlypVVinnkyJHk6uoqc31oaCgBoFOnToktDwwMJC0tLerduzeFhYWJlmdnZ4smn1i9erVEewDIz89P5vaWL19OysrKFcaso6NDCxcuFD0uLS2lLl26kIGBAZ08eVJsHF14eDj17t2bNDQ0ZI4VrY6//vqLevbs+cntyEv5OMqpU6fSo0ePKv1X/tpERkaSgYEBtWnThi5duiQa85aRkUG//fYbqaio0DfffCO2rfLvg52dHc2bN080lWD5d1NTU5M8PDzExrqVlZWJXv/t27dTeno6FRYW0uPHj2nixImkq6tLHh4epKWlJfHcVq9eLZodKyUlhYiEExTs2LGDDAwM6IsvvpAYV7d27VricDj0/fffi/YPZWVldPfuXerduzdZW1vLnDbzQwsWLCAul0u//PKLaDxpbGwsLVu2jExMTMjW1lbqzDwzZswgLpdL8+fPF22rtLSULl68SG3atKEOHTqITam4bNkyAkCzZs0STbIiEAjoyZMn1K9fP1JRUZHY58qSmJhIdnZ2ZGVlRSdPnhRNbPD69WuaPHkycTgcqRMylM/MY2hoSJs3bxY93zdv3tD48eMJgMQMYUSyZ+bZuXMn8Xg8GjFihNj+ITAwkAYNGkRGRkYS38fyCSu2bdtGpaWlYmNY/f39SUlJiYYMGUJPnz4VfY7fvHlD06ZNIwAyJ5qoKqmJEjLm1/vw3/tvUEREhGg+UiMjI2rdujUZGxsTAOratavY9FRE7xLlrVu3RG+4k5MT2dvbE4fDITs7O3ry5IlEwNnZ2aK5JPl8Ppmbm5OSkhI1bdqUdu/eTXfv3pU5+8Xu3btJX1+f1NXVqVWrVmRubk4AqE+fPhQVFSX1BTpx4gRZWVmRkpISOTk5kZOTE6mqqpKVlVWVk2Q5X19fUlZWJg0NDbK3tyc9PT3S1tamnTt30pw5c2TO9bp9+3YyMjIiNTU1cnZ2phYtWhCPxyMXFxd69OiRRPktW7aQvr4+qaiokJ2dHTk5ORGfzyc1NTXy8fGROTD3Qx+bKImEH/o2bdqIBry7uLgQn88nIyMjqV8qoppJlETCabBGjBhBXC6X9PT0yMXFhSwsLIjL5VLz5s3p5s2bFbZZVevXr6devXrJpS15KE+UVf33/mQBoaGh1K9fP+JwOMTlcklbW5sAkKamJs2ZM0diwLiPjw9pamrS27dvRdOGaWpqkrKyMnG5XBozZozUOXVTU1NFc8qWx8Hlcsnd3Z1evnxJO3bsIAAUGhoqUXfXrl2ifUz5/LA6Ojrk4+Mjc0D7sWPHRPs4LS0tUlFRIWVlZRoxYoRoiriqKCsro6VLl4rmXVVWViYA1KVLFwp6UyqaAAAgAElEQVQKCiIPDw+Zc71u27aNLC0tRfEqKSkRn8+nyZMni6Z0e9/mzZvJ1NRUtM9TUVEhAOTi4iJz8g1ZkpKSaPTo0aSkpETKysqkpaVFAMjR0VHmnKh2dnY0f/58unLlCtnb24s9X11dXdq+fbvUehXN9Xrx4kXR3KyampqkqqpKPB6PBg0aJHVKvtLSUvLw8BB9Pj6chOLy5cvUunVrUWzq6uqiOWwrmmShqjhE4n3Z4ODgKh8/btGihcR4l5CQEDx8+BDZ2dkwMTFBixYt0LJlS4m6J06cwLBhwxAREQE7OztRvZycHNjb26N3794VzqYfFBSEFy9eIDMzE82bN0fPnj2hoqKCoqIiBAUFwczMTOrYwfz8fFy/fh1RUVHQ1NSEq6trpbPwCwQC3Lx5E69evQKHw0Hz5s3RvXv3j7oQJTExEZcvXxbN2t+nTx9oamoiPj4eGRkZUl8rQHiYpTxuPp8PR0dHscvIP1RYWIibN28iMjISXC4X1tbW6NChQ5WGbpSLjo5GUVGRxID097cRHBwMOzs7qeOziAiBgYF48eIFioqKYGNjg169esm8W0tgYCBMTU1lXsGXkJCAhIQEtGvXTmbMT58+RdOmTaWOW3379i1u376N1NRUGBgYwM7O7pPH+r7vr7/+wtGjRys8P1vbpE2yIIuurq7E4amkpCS8fPlSdAcaOzs7qWNkly5dinXr1onO6SckJCAkJAQlJSVo1apVpRfelW+HiODo6CgqX1JSgtzcXGhpaUmdYEAgEODZs2dISEiAvr4+2rZtW+kYXvr/O/iU7wMcHR2rNRTifdnZ2Xj8+DEKCgrg4OAgupo8NzcXHA5H5nhAgUCAkJAQ0d2AXFxcKryARiAQIDg4GG/fvoWmpiZsbGxEE358jIyMDLx48QJ5eXmwtraGg4ODzEOTWVlZUFFREY0+CAoKwuvXr6Grq4v27dvLfL1tbGzg6ekp8/oVQHiYPzIyEmpqanBwcKjw6t2ysjI8f/4ciYmJsLW1lXoHpaioKERERIDD4cDa2ho2NjZyGUspkShry4eJkmHqu/Xr1+P48eMVDihvqD5MlAxjZWWFIUOGyDxvXZ+wgWMMIyfUAO9HyTAfo7i4GAkJCTKnAK1v5H7jZoZprFxcXOQy/IBh6rOysjL4+PiguLj4o2ZwqotYomQYOflwvmCGaUzCwsLQqVMnlJSUiCY26dWrl6LDkguFnaNMSUnBs2fP0LVr11qbxoxhmJqRkZGBrKysT55Tk6m/CgoKcOXKFeTm5qJVq1bVnri9LlNYomQYhmGY+oBdzMMwDMMwFWCJkmEYhmEqwBIlwzAMw1SAJUqGkZOwsDDcuHFD0WEwDCNnLFEyjJycOnUKK1euVHQYDMPIGUuUDMMwDFMBligZRk7YFHYM0zCxRMkwcsISJcM0TCxRMoycsETJMA0TS5QMwzAMUwGWKBlGTqysrNC2bVtFh1Gv9erVC/7+/ooOg5Fi/vz5+PzzzxUdhkKwu4cwjJyMHDlS0SHUe0+fPkVaWpqiw2CkKCgoQG5urqLDUAjWo2QYhmnk8vLyEBMTg+Li4k9uKzc3F69fv0ZpaakcIqsbWKJkGKZG/ffff+jWrRv09fWhp6cHV1dX/Pnnn6IdaUpKCjp06IAOHTogLy8PP//8Mzp06IBvv/1W1MamTZswceJEJCcnY9SoUdDX14eNjY2inlKDERAQgPbt20NTUxMtWrSAuro6unbtivv374vKfP7559DX18fWrVtx7do16OvrQ19fH+Hh4QCAyMhI0eMJEyZAX18fVlZWuHDhgqKeltyxQ68Mw9SY1atXY+XKlfD19YWbmxuICJcvX8ayZcvw4MEDHDhwANra2li1ahUAwMvLCyNGjMBnn30GbW1tUTvx8fF49uwZ3N3d0bp1a2zfvh16enqKeloNQkBAADw9PbFixQpcuXIFOjo6iIqKwpIlS+Dm5oZ79+6hVatW2LhxIwoKCvDLL78gMjISe/bsAQCYm5sDAAQCATIyMjB9+nSoqqri6tWrsLS0hIGBgSKfnnwRwzBMDcjPzydVVVXavXu3xLqLFy8SAHr69KnYcm1tbdq3b59E+UWLFhEA8vX1rbF4G5vhw4fTsGHDJJYLBAJq27YtTZgwQWz5jBkzyN3dXaJ8WFgYASAPDw8SCAQ1Fq8isR4lwzA1Ij8/H0VFRTAzM5NY99lnn2HBggXgcqt+9sfIyAizZ8+WZ4iNmkAgkDrul8vlYtu2bSgoKKhWe9V9P+uThvmsGEYBEhISEBkZqegw6gwDAwN069YNCxYsQGhoqNg6LpeLlStXwsXFpcrt2dnZQUVFRd5hNlrjxo3DyZMn8fPPPyMlJUVsXYcOHdCjR49qtSftB1FDwRIlw8jJtm3bMGfOHEWHUaccO3YM1tbWaNOmDdq3b48lS5bg9u3bICJFh9boDRo0CKdOncKNGzdgamqKzp07w8fHB8HBwYoOrc5hiZJhmBpjaGiIQ4cOITk5GXPmzEFUVBSGDBkCZ2dn3LlzR9HhNXqenp64du0a4uPjMWXKFISEhKBt27YYM2YMioqKFB1encESJcPICbG5XmXS1tbGyJEjceDAAbx+/RodO3ZE//79ER8fr+jQGABNmjTBt99+i8OHD+PRo0fw9/eHr6+vosOqM1iiZBg5YonynZcvX+L8+fMSyzU1NbF161aUlpYiICBAAZExWVlZmD9/PmJiYiTWtWrVCiNHjsT169drP7A6iiVKhpETdt5N3MOHD+Hl5YXU1FSJdYWFhRAIBODz+WLLNTU1kZ+fX1shNlrq6urYsWMHdu7cKXV9REQEDA0NxZbp6uoiIyOjNsKrc1iiZBg5YYdexX311Vewt7eHp6cn7ty5g5KSEpSVleHp06cYOnQoTE1N4enpKVbH2dkZhw4dQnZ2drWHJzBVp6ysjN9//x2rVq2Ct7c37t+/j5iYGNy8eRNff/01bt++jblz54rVcXV1xePHj7Fv3z4EBQU1qjl5WaJkGDnR09ODkZGRosOoM/h8Pq5du4a2bdvC09MTfD4ffD4fnTt3hqWlJW7cuAFNTU2xOsuXL0dQUBB0dHTEZt5RU1ODlpZWbT+FBu2bb77BlStXEBUVha+//hqOjo747rvvoKKigsDAQLi6uoqVHzhwIGbOnAlvb2/06tUL9+7dAyB8b9q3bw9VVVVFPI1awSF2vIhhmFqQkpKC4uJimJiYVDgwXSAQIC4uDgYGBtDQ0KjFCBlGOpYoGYZhGKYCbAo7hmHkKqskFw/TGtegdQdtS5irGys6jCrZ8eo40oozFR1GnfalhTtsNN/NNMQSJcMwchWSFQ33y5MVHUat+qvDPExzqB837l4Xsheh2TGKDqNOc9FtzhIlwzBMY6fKUwGf13AvwKkuAiGrOFfqOpYoGYapMVcH7IClZjNFh1Fj2pz4EtkleYoO46NMd/waC1t/r+gw6oyM4mzYHhkodR1LlAzD1BgtZU3oqjTcYR1s3GzjwMZRMoyczJ8/H2PGjFF0GAzDyBlLlAwjJ2ykFcM0TCxRMoycsCnsGKZhYomSYeSIJUqGaXhYomQYOWGHXj/OrWs38aff7zh99KTU9cmJSfjT73f86fc7Ht59UMvRNW6J8Qn4adIM/DRpBgqk3NWlrKwMvyzwwU+TZuBPv99Fy//ZfQB9OvTErWs3azPcGsOuemUYOWGHXj/OJf+LWL/6DwwY4onBX3iJrSMizPj+B1w8ewGm5mb434TvFBNkI5WZkYk92/4GAPis+gV8dXWx9X+s+g1/rPoNKioq8L91UbR8/849eBr4BIf3/4vuvXvUasw1gSVKhpEjlijla+O69bh49gKUlJSw89/d0NPXq7wSUysC7z+C39KVAICff12Ktq7tReumzZ4JXT1dfDdxnKLCkyuWKBlGTpYvX46ysjJFh9FgPHv8FCsW/QIAWLJyKTp27aTgiJhyebl5mPzN9ygpKUHfAR6Y8tM0sfWeXgPh6SV98H59xBIlw8gJn89XdAgNRn5ePr7/eiyKi4vRd4AHps2eUWH5srIypCanQFNLC+oa6hWWZT7drCk/IjIiEiamzbB57zaJIyl5uXkoKSkBn68GVTU1BUUpP+xiHoZh6px5M2YjMvwVjJuZYNOerRI74m1/bUE7Wxds+2sL9mz7G47NmqOFiR0stE3g1WcgIkLDFRR5w3do30Ec3v8vuFwuNu/dBoMmBhJlpn47ETb65tiw7i8FRCh/LFEyDFOnnDh8DAd27QOPx8PW/TvQpGkTiTKZGZmIiYrB9g1b8dOkGVBX58POoTmICDev3oDXZ4OQlZmlgOgbtpioGMydNgsAMNdnAXr26aXgiGoHS5QMw9QZMVEx+GmS8DDrrEVz0MOtZ8XlI6Ox69AePIkKwoPQx7h0/yq0dbSRGJ+AXZt31EbIjUZxURHGj/gWOdk56OHWE7MWzVF0SLWGJUqGYeqEoqJijB/xLbIys6Cqpoap3tMrreMxsB+GfvW56HFb1/b434SxAIALZ/xrLNbGaMnsRXjy6DEAYIDXQPB4PAVHVHtYomQYpk64FnBFtCMuKiyE37JfK63z4bg+AOg7wB0AEPYyVL4BNnJHDhwS/b3KxxeJ8QkKjKZ2sUTJMHLyyy+/YMGCBYoOo94qKyuDuoY65iyZBwDYtn4znj1+Wu12jIyNAADZWdkoLS2Va4yN3ZqNv8He0QHZWdlYMnuRosOpNSxRMoycpKSkIC0tTdFh1FtcLhdb9u3Agl8Wo7d7HwgEAvw0cQYEAkG12tHSFt7/kohQUlxcE6E2Sj/MmoHxUydg3eY/wOFwcPTgEVw4c17RYdUKligZRo7YzDwfr7d7HwwaNhgAsGbDOqiqquJp4BNs37C1Wu2Ulr5LrNxGdB6tpnkvnA0A6NarO4aN+AIAMH/GbKlzwDY0LFEyjJywSdE/jaqqiuhvW3s70SQDK5csR9zb2Cq3k5qcAgBQVlaGqqqqfINsxN7/Ebjy91XQ1tHG6+jXWLPcT4FR1Q6WKBlGjliPUn68F86GhZUFcnNyMW/67CrXCwsRXsRjYW1ZU6E1eobGRpjnIzwfv2Hterx4+lzBEdUsligZRk5Yj1K++Orq+PXPNQCAcyfP4uyJMxJlgp69QFFhoegxEWHv9t0AgM7du9RKnI3VxBlT4NKmFUpLS/HTpBkNep5jligZRo5Yj1K+BgzxRP/BAwAA86bPRm5Ortj68JAwDOo9AIf3/4uDew5g1JCvcP/2PXA4HIybPF4RITcaPB4PqzesA4fDweMHgdi9dZeiQ6oxLFEyjJzMmzePDQ+pAb/+uQZqfD7iY+Pgu/gXsXU93HoiOysbk7+ZgB++m4wLZ86Dx+PhlzUrxG77xNSMTt06Y9R3owEAy+b/jIS4eAVHVDPY3UMYRk4sLCwUHUK99OXoEWjboR2Mm5lIXW9pbYkTl04jIS4eXB5P7BBfUyNDHDr7H04cOY7wkDBoaWuj/+ABcHR2qq3wGzSb5rZ4HPkCAKCtoy21zJqNv2HWYuHYVy1tYZm1m37HsjW+Deb+oSxRMgyjUC1bOaNlK+cKy1R0L0o1Ph8j/zdK3mExAFRUVGBlY1VhGTU+X6JMUyNDNK25sGodO/TKMAzDMBVgiZJhGIZhKsASJcMwDMNUgJ2jZBim3uk3qD+MjI1gZWut6FCYRoAlSoaRk61bt0JZWRnjxo1TdCh1RkhmFLJLcisvWF1WfLS26goAeJoeJv/2q0hA9XeQ/bP0cOx5dUrRYdQZ+aUFMtexRMkwcvLw4UNoaGgoOow65ZsbCxUdAiNDQPxdBMTfVXQY9QI7R8kwcsRm5mGYhof1KBlGTthcr0Jt9RwQ6XVa0WFU2d27dzFx4kQsWbIEX3311Ue10US1/gysDxl8XNEhAACmTZuGTZs2gYiwcuXKOj2rFUuUDCMnRMR6lABUeSqw0TRTdBhVQkTwmLIA+TGZuHn0MuaP81Z0SI3CpUuXcPjwYdGPy8TERAVHVDF26JVh5IQlyvpn9+7dePv2LQAgKSlJwdE0Dunp6ZgyZQpSUlJEy5KTkxUYUeVYomQYOWKJsv4oKSnBmjVrUFxcDADIyMhAaWmpgqNq2IgIX3zxBV69eiW2PDMzU0ERVQ079MowcvLtt99CVVVV0WEwVbRq1SpERUWJHmdkZCA4OBitW7dWYFQN25IlS/DgwQOJ5YXv3VO0LmKJkmHkpHfv3ooOgaminJwc7N27F0VFRaJlGRkZCAgIYImyhty7dw9///038vPzJdbV9UTJDr0yDNPozJkzR6w3We7atWu1H0wj4efnh9atW8PKygoAYG9vD319fQAQ+8FSF7FEyTBMoxIfHw9/f3+x+1qWS0hIUEBEjcPx48fh5eWFmJgYzJs3D2FhYTh27BgcHR2Rnp6u6PAqxCE2+IthmEZk1KhRePz4MaysrHDhwgW0atUKysrKiImJgYaGBkJCQqCurq7oMBucwMBA9OzZEy1btsTt27ehrKwMQHghT//+/XHv3j0FRygb61EyDNOo/PXXXwgNDUW7du0AAEePHsWjR49w5MgRFBYW4smTJwqOsOEJCgpC//79oaGhgYMHD4qSJADo6urW6SQJsB4lwzCNkEAggJWVFUxNTcV20hkZGeBwONDV1VVgdA1LaGgo3NzcUFRUhCtXrqBNmzaKDqnaWI+SYeTk33//hb+/v6LDYKrg7NmziI2Nxffffy+2XE9PjyVJOTpz5gw6d+6M/Px8+Pv718skCbBEyTByc+rUKdy4cUPRYTBVsH37dmhpaWHkyJGKDqVBKi0txbJly+Dl5YWmTZvi9u3b6NSpk6LD+mhsHCXDyBGbmafui4iIwLlz5zBp0iRoamoqOpwG58mTJ5g0aRIePnyIAQMG4MCBA9DTqz+TxkvDepQMIyfsdH/98Pvvv4OIMGPGDEWH0qDExsZi6tSpcHV1RUREBDZv3owzZ87U+yQJsB4lw8gNmxS97ktPT8fevXsxZMgQtGjRQtHhNAjR0dFYvXo1/v77bxQXF+Prr7/GunXrYGxsrOjQ5IYlSoaRI5Yo67ZNmzYhLy8Ps2bNUnQo9ZpAIMDVq1exbds2HD9+HAKBAAMHDsTSpUvRvn17RYcnd+zQK8PISX069Hr16lV06dJFbFlJSQnS0tIUFFHNKyoqwqZNm9C+fXv06NFD0eHUO3l5eTh+/DjGjx8PY2NjuLu7IyAgABMnTkRQUBBOnz7dIJMkwHqUDCM3Xl5eaNKkiaLDqJLMzEw8fvxYbNncuXOxc+dOJCcnQ01NTUGR1Zx//vkHCQkJWLdunaJDqRcKCgrw4MEDXL9+HTdu3MDt27dRWFgIVVVVuLm5YfTo0fjiiy/A5/MVHWqNY4mSYeRk1KhRig7hk4wYMQJmZmaflCS3bt2KY8eO4cKFC3KM7NMREdauXQtLS0t8+eWXig6nzomJiUFQUBCCgoLw/PlzvHjxAmFhYSgpKQEAWFhYYOTIkRg0aBA8PDygpaWl4IhrF0uUDMMAADp37ozOnTt/UhuZmZmIjY2VU0Tyc+rUKbx8+RLr16+HklLj2+0VFRXhzZs3on+vX79GTEwMXr16haCgIGRlZYnKamtrw9nZGePGjUPXrl3Rs2dP0R0/GqvG94lhmEaooKAARPTJk33n5ORAWVm53h2aXb16NQwMDDB27FhFhyJ3aWlpSExMRFxcHBISEhAXF4fExETExsYiISEBr1+/RmJiosQ5dHV1ddjZ2cHT0xOtWrWCs7MznJ2dG31SlIYlSoZpwG7evIlZs2bh4cOHAIDmzZtj8eLFUg+d7dixA4cOHUJAQIDY8qysLPj4+GDfvn1IT08Hj8dD165dsXLlSnTv3h2A8Pzm0aNHkZmZidzcXNja2gIA9u7di27dutXws6zYzZs3cefOHSxbtqzeTTCQkZGB6OhoxMbG4s2bN4iLi0NcXJzo79jYWKk3PebxeDA0NISpqSk6d+4MCwsLWFtbw8LCAhYWFrC0tKw359PrApYoGaaBunv3Ljw8PPDNN9+IZkcJDg7GkiVLoKKiIlE+MzMTb9++FVuWnZ2N7t27o0mTJjh37hxatmyJ+Ph4bN68GZ999hlOnz4NDw8PTJ06FSNGjMCePXtw5swZHD58GIAwMSuan58f1NXVMXXqVEWHIhUR4fXr1wgLC0NISAhCQ0MRFhaGly9fIjk5WaK8trY2zM3NYWdnh169esHU1BQmJiai/5s1awYjIyPweDwFPJuGiSVKhmmgfvjhBwwePBjbtm0TLevVqxcCAgJEPcHKLF26FFwuF/7+/qLDrfb29qLZbaZNm4awsDBYWVnBysoKly5dAp/PrzPDBIKCgnDu3DlMnz69zvSgsrKycOPGDdy/fx93797Fw4cPkZOTI1qvrKwMW1tbdOvWDS1atICdnR1MTU1hbm4Oc3PzRnchTV3AEiXDyMnFixdhYGBQJ5JEcHAwnjx5gu3bt0usU1VVhbe3N7777rsK2ygpKcGePXuwfv16qeckJ02ahD///BORkZGws7OTV+hytX79evB4PHh7eys0juDgYJw8eRLnz5/H3bt3UVpaCgCwsrLCoEGD0KpVKzg4OMDJyQk2NjZi92tkFI8lSoaRk82bN6Nt27Z1IlE+evQIPB4PrVu3lrq+KhfjhISEID09XXSD4w+1aNEC6enpdbaHk5GRgQMHDsDLywuWlpa1vv3k5GQcOHAA+/btE90M2srKCt9//z08PDzQpUuXBjXNW0PGEiXDyEldmus1NTUVhoaGnzQUIjExEYBwDJ00HA6nTk94vW3bNuTn52P69Om1ut2oqCisXbsWu3fvRkFBAWxtbeHj44MRI0bA0dGxVmNh5IMlSoaRk7qUKDkcziePFywfTlBXnlN1CAQCbN26Fc7OzujZs2etbDM9PR0LFy7Ejh07QEQYOnQovL29FX7VL/Pp2FyvDCMndSlRGhoaIiEhAQKB4JPaAIA3b97IK6xac/LkSURHR2PmzJm18p7s3r0bLVq0wLZt2zBixAgEBwfj6NGjLEk2ECxRMkwD5OrqitLSUjx//lzq+rKyskrbcHZ2hpaWFgIDA6WuT0xMhLu7e52ciWfDhg3Q19ev8WkFi4qKMH78eIwdOxb6+vq4cOECDhw4wG7h1cCwRMkwclKXepQODg7o0qULVq5cKbGutLQUGzZsqLQNZWVljBs3DqtXr0ZRUZHE+l27diE8PFzsghRtbW1kZ2d/WvCfKDIyEteuXcPYsWM/eSaiiiQlJaFHjx7YtWsXpk6dihcvXsDd3b3GtscoDkuUDCMnbdq0gbW1taLDENmwYQP8/f0xfvx4BAcHIykpCVeuXIGHh4dosuvK/PLLLygrK4OHhwfu3r2LnJwcvHr1CosXL8aKFSuwZcsWsXOhbdu2RWxsLPbt24eEhASxOURry/79+0FE+N///ldj28jKykL//v3x9OlT7NixAxs3bmRDOhoyYhimwXrw4AH16NGDOBwOASAHBwfaunUr3blzhxwcHMTKbt++nfr27SvRRnp6Os2YMYOaNGlCAEhFRYUGDBhAjx49krrNWbNmEZ/PJy6XSxs3bqyR51URe3t7atOmTY21X1BQQD169CAul0v//PNPjW2HqTs4RPXobrMMw3yU4uJilJWVffJk5rm5udDQ0Kj0ELNAIEBpaSlUVVU/aXvV9fjxY7Rv3x5r1qzB7Nmza2Qbc+fOxZo1a/DXX39h2rRpNbINpm5hw0MYphGQNrfrx6jqpOI8Hk8hc42eOnUKgPAm2jXh/v37+O233zBkyBCWJBsR1qNkmAYkLj8ZZ+NvKjoMhfEdOhclhcVYev4PubdNRFgxZDYyEtOx9Nzv0G6qW+02vjDvCwNVHbnHxtQsligZpgG5nPgAfS9PUnQYipFdCvwQBAwwBEY1k3/7z7KBNVHAGFOgf9OPauKJ579oo+cg58CYmsYOvTJMA6TE4cFZr25OVF5TskJjEU2ATUcHaOvLP1G+ungNBerKcBraCTz16l3h+jQ9TO7xMLWHJUqGkZOIiAhoa2vDyMhI0aFAW0UDVwbsUHQYtWrJ5UXYxLmDi9P2Q99AX65tR72KQodnhzB9zkws+2JFtevrH+gh13iY2sUSJcPIybRp0+Du7l5jV1s2NgIqQ05JXpXL3793D7YOduBqKSOzOEdivbqSGlS473qCxWUlyC8trFLbZ8+dAQB8NrSf1LYBQEtZAzwOG5reELFEyTByQnVoZp6G4FX2Gwy5PAN2OtLvXvKhp0HPoNPaGKNvLpBYF5+XgqVtJsPLwk207PSb6/B9sQMm6pXf0Dns8FUoaalgVd6/4Nw8JBlr1huc67sRttrmVYqVqV9qJlG+DABin9VI00wDp64HdB+v6Cg+CkuU8tfFpA0WdJlYabmcjGx4ZO3BoO79MfmzHyXW//PyjNR6Xs37YGQLzwrbJiJ4DD+GHh69sdJdMgkDwIo7WyqNkam/aiZRRt4GAo/USNNMA6dnVm8TJaM4byNiAABmdlXrfVZHRnI6cjNzYNeKXa3aWLED6gwjJ6xHqTiZqZkAAH2jyg+jVldCTBwAwMTKVO5tM/UDS5QMIycsUcrmPXkmbly5LrGciDBm6Egc+/e/T2o/LzsXAKChrfFJ7UiT+JolysaOJUqGkRMTExPo6LBZV6QpyC9AqZQ7luzeugtmFub4fOTwT2r/XaKs2hR71ZGRnA4A0DeWf2+VqR/YVa8MIyf79+9XdAj1jqW1Jb75/lu5tVcTPfryycu4XNavaKzYO88wjFyUlZXhwZ37OLTvIJ4GPqm0/KN7D5GYkITnjz/9CnkNLeEh1/ycqo+7rC4222fjxXqU9dXnq4DmvYDUKGDnaEVHwzRyZWVlGN5/GPh8NbTp0A7//L0fHbt2wqIVP0stP2/6bIS9DEXXXt1xZP+/sHd0gN9faz96++r/f1E2zHgAACAASURBVMi1JhJleS+VJcrGiyXK+kqZD/C1AVX5X7zAMNXlf+ocdHR18PfhvQCAWYvmwK19D3w7cSzMLMQH4T9/8gxhL0NxLOAUuFwuiAh9O/ZG2MtQODi1+KjtO7R1xLIDa+DQzumTn8uHOrp3he/h39HUVPFTEzKKwQ69MgzzyW5dvYFhX30ueszlcjFm/P+QlJAkUdb/1Dl8OXqE6Jwfh8PBZ/374vHDwI/efpNmhvAYNQi6TeU7xysAWDhYo8+X/cHX4Mu9baZ+qDs9Sr424NAH0DMHVNWBzAQg4gaQFlN53SbWgE0X4WD10iIgNRoIvw4UZEkvr9sMMHUR/h12FVBRB5wHAHoWQOxTIPiCcJ1jX4DLA5IjgJRowL4nYNEeEBQDd/4Gij44zKOqAbToK4yHpySMPfwGkJNc+XMwdgAsXQE9U6C0GEgKEz6H97ehYwKYtRL+rf3/v25VtYCW/YR/p70GEkOlNM4BbLsAzVoCGvpAbioQdQ+ID5Yei1134XPJSpQ9w5JNF+F7lpMCvHn8bnlTG8CwOVAmAEIuCeN0HgBoGQGvbgKRdyp/LZh6Jz4uHobG4j2uCdOk3+4r9s1bBN5/hEf3H4qWhQS9hEYVbwrNMLWtDiRKDtB7CtB1HKDywS+2fnOApyeBcyuAEimTF6vrAkOWAw5uwIdXuxUXANc2And2A/jg3IKlKzBspfDvA1MArxWApoHwcaTdu0T5xWpASRW4vgUwsgda9HnXxpPj4kmsw1fAZz8C/A+GB5QWCevf3Cb96Ws1BYauBGy7Sq4ryBI+9xfnhI8t2gljep+OMfDlb8K/7+0Dzq8SX2/iKGzfyF6y/fDrwPH5QEG2+PL+84XJPvg8cGSW9Lj7/iRMvOHXgX+mvlvu6A70mQEISoF/pgBf/fHu8LCqeoNOlDk5OVBRUYGqqqqiQ6l1pSUlUFKq2u6kqLAIvT7rBefWLqJlQ78cBms725oKj2E+ieIT5ZClQLv/H0OVFiPckXI4wp6bkT3QdpiwV3JgsrCXUk5DHxi3HzCwFD6OeQgkvBT2Dpv3FNbxmA1oGwLn/WRv/3M/Yc+oTADkZ0pPyB1HCcsAwjIfJmW3aUCvKcK/U6KAyFuAqiZg1VHYy/1sJsDhAjc+mA9Sqykw/h9hD5fKhM89OQLQMgTsegiT7uerAa4S8OwUkJXwLombtxE+x8Kcd8nnw96kRTtg9BZhoirIBkIvAcX5gImTcJ19L2DMNuHFQO+/tvLAUwKGrxNuW1Ai3H6p5Di6hmTgwIEYMWIEfvjhB0WHUuuaGDZFRnq62LKEuHjw1dWhq6crttzQ2Aim5mbo1dcNDFMfKDZR2vd6lyTv7wcurH63w+ZwgT7TgR4Thb2t1kOEvbhyAxYKk6SgFDg6WzgRezllNWDYKsDJHej8PyD6gfAQqzQqfOCcL/D4qLD3Jw1fGwi7Bpz/FciIFV9n0Q7o+f+HmB4cFJYpfw7lycKxrzCRvjgjXn/AQmGSLC4ADk4VxllOqykwapMwqQ1YKOy5vXn87jDniD+FiTI7ETjiLRmzshow7FdhokqOAPaOB3LT3q1vMxQY6is8BO36tfD1lzcuDzg6V9gzlXciroMa88w8Ti4t8ejeQ7h79hMt+3nOYkyeORXtO3UQK9u6XWtcuXgZQ987p9mYXzum7lPsxTw9/v+uAIlh4kkSEPawLq9/d46stde7dYbNhee9AOEhzfeTJCDsFR6bB6S/FT7uXcEv/Eu/Aw/+kZ0kAWGiOTRDMkkCwsOMHK6wJ3nBT/w5CEqBs8uFvTieEtBm2Lt1BlaAk4fw72sbxJMkIDz3d2ye8G81LfHDvlXR/kthb7ZMAJxYJJ4kAeDpiXc90fZfVq/tqjq5GHhxtlEkSaB2dvYdO3bEt99+i5CQkBrdTnWN+m4Mjh48gn92H0DYy1Ds27EH8bFxaNOhrUTZYSO+wPPHz7DOdw1Cg0Nw9eJlePbwQEJcvAIiZ5jKKS5Rahm+uzDl6XEZO1MS7tDjg4Gy0neLnfsL/xeUCpOcNKVF73pJJo7vDtF+KPxa5bFG3JQen5YhYNle+HfgEeEhxg/lpgJvnwr/Li8LCHuZgPAHwZNj0rebEiXsScYHCw/lVofT//+yf/t/7d13WBRXFwfgHwvSQZAiKiBgAVFiVECwUqVIsUYFS2IsMYmJieXTWJKYKIkxphhi7L1Ho8aCgF0MxhoTUcSCIB1BKUvdne+PkYWVBRaYZWA57/PsA8zeuXMGlMOduffM7Zon7cRFsh9Nu7L3e7kmz/eW1EtoaCj27NmDoUOHol+/fggLC0Nubi7fYUFPXw+/nz6KhPvxWLn0K6SmpGLf8d+hqqoKABg23Aedra0AAGpqavgj+k8AwDdfrMTh/YewLOxLdOjUkafoCakdf5deTWzYkRjALpqvyfUD7Kuqjr3Yj1mPAGEtvySexErv8/xpw2KtSadeledQnMdObpFFyD7ZAEZWldtMu7IfC55Xn0xTVdWJMvJSEVTO6n2RUnNcVSc5GVkBwtv1PxaRaIoR5fTp0/Hjjz8iMTERWVlZuH37NtavX48uXbpg9uzZ0HEyU+jxa2NlY4XPv1ku872R40ZLfW3YzhBzF89virAIaTT+EqVulQLDedXXWtW+rwn78WVa7e1eplfZx6h+x6hPHAB7v68umnqVn+u8iqe+5y4PbQP2Ui/A3tvtHVS/2HiUnZ2NxTNlLytoqLKyMhQUFHDapyzx8fHYtGkTzp49q9DjvHxZuexJLBbj6dOnePr0KS5cuACj9saATSlEb3VVaAxNobC8CHdzHuLnmzsb3df9509gbSX9R0ROyUtcenYdmcLnNewlv7icRxCWFzW6H9I88ZcoBVUOLWumaW3U1NmPotLa2zHiKsdrU79jyKNqVZwXKUBdJa6qXr5VfRVPbfdGG0pdu/Lzwhz2HmldZF025kFBQQEOHmyZD/3Oz8/HvXv38PhxLVdIOJCXJ/sKhEgkQkFePpAoRnl8LVcpWggRI0Z5WTlKCuv5+0GG8rIylFX9fQCgnBGjvISb/kXlIohfX4ZGlAZ/ibI4v/JzPVPZE2Vq3PfVL4HX1yy+TqdKlY6CbPn7lzuOKuewOZSdgFPfffVMam/XECVVRk8X1tV8H7cZsrKyQk5OPN9hNFtisRh2dnZISEiQbNPW1oaFhQWcnZ0x9F1/THv2LTQ09BUWw3///AtLq87Qb6u4YwCAfhsdWOiYwdnIoe7GdSgTiWCqaSi1zVTTEFZ6HTnpP70oB7pq2nU3JC0Sf5N5cqrcLzSo5Sa+mjq7PKPqpcGMV78k2tuySxBq0qFK3cccju9PAtLJvb1t/fatqDik3772c9DQYc+/jab8fRflVd73NKtnXEDlSFxVAaNw0ihRUVFIT0+HQCBA586d4eHhgV27duHu3bvYsWMHrGxtFB5D2LKv8eAe/TFDWg/+EmXW48olC93dam7nPRf431/AjCoTeh7FsB+1DWrft2JJSX4W8OxOY6KV7dntysvGfet48OzriS7xVfkuNQ3ZVXkANoHOiWLP3/Vt+eNixEDiq+Um9j6133+UlYArkqx+TRNDVOo/C5dw4tNPP4WVlRWWL1+Omzdv4syZMxg5cqRkdikhhHv8JUpGzC6pANhapTau1duY2FQmu/tVJkjcP1M5mvNZIHuiTi8/wNaN/fzaPun7lVwpLao8B3tvtoqQLI5vAR+dAiyrrCl7FFN5Dt7zZCezgVPZy8sMAzx4rWBCRR1bLQMAMmZaxr6aAKGpx5boU5Vxld20KxvXoHel+8h8wH7s0AMwkVFWbODUmpfbEIWKjIzEnTt3sHjxYrRrx30BcEJIdfwWHIjZxF6CVBEAIeFsrdTOjux6w8HTgam72V/0L9OAmM2V+4lF7GJ2sYhdVD/jIOA8ATDvDVg7A/5L2NJ0AFvMoOq+XDv3S+Wyk6Cv2Go43QazSzJ6eAHjfwYCPmfvw1ZNOmIRcPxLNoGbdgWm7WUTbadebMWiMd8BHh+zbW8cYM+jqopLt3ombE1cW3fAyqny/afXgWt72c97eLH99w5i+7fuD3h/Ckzb92otqCNQ9entFbVlVQTA5M1A/1C2LGDfMcDE9ey+hBedOnVqdB/3797D7i3SM0nTU9MQ/v3Pkq8j/jyFd8e/jUkjJ2Db+i0Qi2v+QzMl+Rnmvf8JxvqNwucLluDli8pZuVvWbUJSYpJU+2Xzl0g+3711F/65eRufzfkf5n9A/65I88RvCbvSImDHNCB0HVttZ/B09lVV1iNg/8fs7M2qEq+x1XJGfsPe5/NfgmqeXmf3VeSMzpICYPs7wIRf2HuispZjiMqA6DXAjd+ltz+6AhxeCAQtZ4uQB39dvf8bv7Ml9l536zBb2UhTD3Cdwr7+OVp5SRcAToWxSyWdxrOxjQyr3s/9s8Afi6Rn5FYkWacJbCL2+0x6n7R7bIKvcX0mac46WZhj0qgQhE6dJNkW8ecp5OexE8x+33MAOzdtx9drwtCmTRt8uXAZGIbBO++9W62vkuJivOU/GrPnf4xZn3yI6FOReMt/FE5fOQMAOB91Fm/26wNLK0vJPvt37sXy79h/65fPXcSGn9dhyox34DygvyJPm5AG478o+ss0YP0Y9hJrD2+gnQW7dCQnCYg7DfzzZ81LKOLPA2v92V/oNq7skzSK89kR3j9H2ao2si65vkipLC5e29KJe9FsLBkPaj+HvAxg43iglz97CdbYhn2wcl46kHyLrSOb/UT2vv+eAJJusOdg5cyO8Ery2Wo6Nw9JP8KqKuELtn7rkJmAaXd2JnDaa2XNxCL26SP/HAX6jGJH3Fpt2baZCeyxH1yQ3f+JFWxVnzeC2CTOiNmfSfxZNnm7TGIvHafFSe+X9ajye6uIy92k0fT09WBlY424f+/C3oH9YyfyRAQWfrkYAHAu8ixW//oDutmxT5xZsGwh1qxcLTNR7tuxF8NHBGD85BAAQJdusxB1MhK3rt1AH6d+1drL4hfkj6mzpnFxaoQoBP+JEmBL0d08xL7qqzCHfZzW+XD593l6nX3V5dAC+fsUi4A7f7Kv+nqZztacra/Uu8C+j+pul/Iv+6oXBrhznH3JErNF9vZ70eyrFRoxYgQmTpyIMWPqmNjVDAwfEYDIE6dh79ATJcXFePzwMRzeZEtKhm+TfsqNnr6+ZLT5uts3biF4zAipbW/0eQOPEh7JnShdBsmYn1BPuanPsSbwMwQuCoHzmKGN7q+qhCt3sWfuOoR8PwvdBtBVlNaoeSRKQpRAcnJyk1QA4oJfkD/eeWsy5iz8FJfOXYS7t4ek/F5JSQnCv1+L6FORKCsrQ2FBIUzbm8rsJyMtHQs/XgBt7co1hMXFxbDr2UPuWLgo+1daWIyy4tK6i340UFFeIcrLyutuSJQSJUpCONKSHhXVvgO79Od59nNEnYzE8JGBkvc+n78EGpoaOHLmONTV1fEwPgHz3v9EZj+qqqpYt3293KNHRSkpZMvHaeho1dGy/iQ/UwUlYdL88TvrlRDCG99Af0SfisS1v/7GgCEDJdtPHj2BJSs+h7q6ep19WHS2RPLT5Brf19bRQWFhofRGBSSc0iK2nKWahuKKZDCUKFstSpSEcKQljSgB9j7lr2t+ga29HdTUKi8uMQyDgvzKS8iH9v2OsjLZM8eHDffB1t82QySqnDV9/+49SVKx6dYF12MrZ2JHn4qEUChH7eF6qkiQ5SXcz3DX0GWLchTlcR83aRno0ishHGlpibJL964oLS2F/4gAqe0zZr+HkV6BcB/mgXv/xcHRxRmZGZky+3Dz9sAfBw7Dd6AX3L09kPw0GfFx93HkzHHot9XHpHcnw2+QN9JSUlFaWorszCzo6nH/pBp1bQ0AQKmQ+4cMGFmw92dzkmR/D4jyo0RJSCu27/jvMOsoXapw9vyP4ebtjofxCZg8/R1Yd7HGsOE+kve/XvMN2pu1l3z908ZfkHD/Ae7fvYdB7kPgOngA2rRhR3gdOnXEmWsXEXv5L+jq6WKQ22DEx92X7Lto+RIYtpMuVt4QGtrsqK9E2PgngbxO20AXWvo6yE5SwCPxSItAiZIQjuzZswft27evu2Ez0tladilChzffkCwXAYA3+vSWfG7dxbpa+2523SXrLl9nZGyE4VVGrRVrNwFIFSJoDE09dtZtcb5iLo8aWZoi63Edz78lSovuURLCEXt7exgZKeAB4aRO2gY6aKOpjhfpOXU3bgDrft2R9iAZ+dkv625MlI5iRpQ67dgarITUV22PXCOkBioqKmhr1g4v0p4rpH87t964tP004i/egeOowQo5Bmm+FJMoPT5iX4QQ0ggJeUk4LD5bd0MAZe1U8CzpGQ4nV2+fXpSFUfCstv2f3AdIL6p7FMqYiKGqq47oE5FIcqo+szaxIEWuGEnLRPcoCSHNkrVeJ5zy+VXu9l+/UYLje48gvP8iqKpVfz6nqab0Y8l8zQein7F9tXY1WfGWCH9sO4CFJiGw6l79AdmdtGVXLyItHyVKQkizpC5oAytd+S/F9+vdF4e3HYA4vQhdaphYVJWOmhZ0dOWv5LN48WIc3fE7Dvy0E79uXy/3fqTlo0RJiBISMWIkFqTyHUaTateFnXF84XoM2pjrcn8AU3X4jQvEwT37MXLWeHTrZcv9MUizRImSEI5MmzYNEydOhJubG9+h4GVpAfoeHcd3GE3rJXvvcMEfKwGVGp5u01hOpcAfwLi33gKWdwfa0MKB1oB+yoRwJCYmBpmZVL2FN23bAPpqwNMixR3DWB2Y3AlILgb20brK1oJGlIQoEU8zZzCht/gOgzf+u/1x+/ZtpCryexAKhLwMwd69e7Ha+3+YO3eu4o5FmgUaURLCkZZW61UZ9e/fH2lpaUhOrvmJJlzYsmULPD09MX/+fPz6q/wzc0nLRImSEI5QouSfi4sLAODq1asKPY6mpiaOHTuGIUOG4IMPPsDMmTNrfMIKafkoURLCEUqU/HN2doaKigpiY2MVfixtbW0cP34cY8aMwYYNG+Dr60v3qJUUJUpCiNIwNDREjx49cOnSpSY5nq6uLg4ePIj169fj0qVLsLW1xU8//QSxWNwkxydNgxIlIRz56aef0L9/f77DaPXc3Nxw8+ZN5OXlNdkxZ8yYgYsXL6Jz586YM2cOBg8ejMuXLzfZ8YliUaIkhCN+fn4wN6eHAfBt6NChKC8vR0xMTJMe18XFBdevX8fq1atx584dDB48GB4eHjh//nyTxkG4R4mSEKJU3NzcoKKiggsXLjT5sdXU1DB37lwkJibi888/x61bt+Du7g57e3t8++23yMlRzGPAiGKpMAzD8B0EIYRwqWfPntDW1sa1a9d4jSM3Nxfr16/Hxo0b8fjxY2hra2PEiBEYO3YsfH19oampyWt8RD6UKAkhSueTTz7Bzz//jLS0NJia8v9UD7FYjOjoaGzatAnHjx9HUVER9PT0MHz4cPj7+8PHx6dZxElko0RJCFE6kZGR8PHxwc6dOzFx4kS+w5FSUFCA48eP4+DBg4iIiIBQKIRAIECfPn3g7e2NgQMHYuDAgTA0NOQ7VPIKJUpCiNIpKSmBsbExgoKCsHv3br7DqVFxcTEuXbqEiIgIREREIC4uDgAgEAhgb2+PQYMGYeDAgRg8eDA6d+7Mc7StFyVKQjjy7bffIigoCD169OA7FAIgICAAf/31FzIzM6GqWv1Bzs1RRkYGYmJicPnyZcTExODmzZsoLy8HAJibm8PFxQXOzs5wcnJC3759oa+vz3PErQMlSkI40rlzZ4SHhyMgIIDvUAiA8PBwfPjhh4iNjW2x61sLCwtx9epVSeL8+++/8eLFCwDsqNPOzg5OTk6S15tvvgl1dXWeo1Y+9PQQQohS8vf3BwCcOnWqxSZKHR0deHh4wMPDQ7ItNTUVN27cwI0bNxATE4ODBw9i+/btANjlKd27d5dcsu3Xrx/s7e2ptGIj0YiSEI5YWlpi3bp1GD58ON+hkFdsbW1hYGCg8CLpfCovL8fdu3fx999/4+rVq7h69Sri4uIkZfTat2+P/v37w8XFBUOGDEH//v2hpkZjpPqgREkIRywsLLB+/XrJSIbwb86cOVi7dm2zWSbSVAoKCnD79m3JqPPChQuSgu06OjpwdXWFl5cXvLy80LdvXxpx1oESJSEcoUTZ/Jw+fRq+vr7NcplIU3v48CHOnz+P6OhonD17FllZWQDYEaenpyc8PT3h7+8PMzMzniNtfihREsIRc3NzbNy4EX5+fnyHQl4pKSmBiYkJfHx8cPDgQb7DaVYeP36M6OhoREdHIzIyEi9fvoRAIICrqysCAwMxZswYdOnShe8wmwVKlIRwZOXKlRg9ejRsbW35DoVUMXbsWERERCArK4tKxtWgtLQUV65cwR9//IHDhw/j2bNnUFFRgbu7O6ZOnYpRo0ZBS0uL7zB5Q4mSEKLUdu3ahUmTJuHkyZM02pcDwzC4evUq9u/fj127diE7OxsGBgaYOHEi5syZ0ypHmZQoCSFK7cWLFzA1NcXUqVPx22+/8R1Oi1JaWopjx45h8+bNiIyMhIqKCkaPHo0FCxagX79+fIfXZChREkKUnqenJ+7evYvU1FQIBPR0wYaIj4/H6tWrsXPnTpSUlCAwMBDfffddq7jVQP9iCCFKLzg4GBkZGbw/dqsls7W1xcaNG/HkyRN8+umniIyMhIODA2bPno3s7Gy+w1MoSpSEEKUXHBwMFRUVHD16lO9QWrwOHTrg+++/R0JCAsaPH4/w8HDY29vj8OHDfIemMHTplRDSKrz55psoKyvD3bt3+Q5FqVy+fBlTp05FQkICJk2ahLVr16Jt27Z8h8UpGlESwpGdO3ciJSWF7zBIDUaMGIG4uDg8ePCA71CUyqBBg3Dr1i28//772LVrF/r06aN0f4xQoiSEI/PmzcO9e/f4DoPUIDg4GABw7NgxniNRPjo6OggPD8eJEyeQm5uLgQMHIioqiu+wOEOJkhCOMAxDNTObsT59+sDKyoruUyqQn58fYmJi0K5dO/j7+2Pbtm18h8QJSpSEcIQSZfMXEBCAK1euICMjg+9QlJa9vT1iY2PRp08fTJs2TSlKB1KiJIQjlCibv+DgYIjFYpw8eZLvUJSaqakpoqKi4ODggNDQUERERPAdUqNQoiSEtBpDhw6FoaEhXX5tAm3btsWJEydgbm6OsWPH4r///uM7pAajREkIR1rDiPLIkSMYPnw47Ozs4OzsjLFjx2LVqlW4ffs236HJpU2bNvDz80NkZCQKCwv5DqdRGIbB6tWr4ejoCGNjY3Tv3h2+vr5YunQpbt26xXd4AICOHTvi9OnTEAgECAkJQXFxMd8hNQglSkI4EhwcDBMTE77DUJjff/8do0ePhrW1NVavXo2PPvoIffr0wdatW7F69Wq+w5NbcHAwioqKEB0dzXcojbJy5UosW7YMEyZMwPHjx7FmzRoEBgZi9+7d2Lt3L9/hSXTr1g1r167Fv//+i0WLFvEdToNQwQFCiFzc3d3RoUMH7NmzR2p7xQORd+3a1aTxLFy4EBYWFvjggw/qtV9BQQGMjY0REhKCLVu2KCg6xbOxsUFoaCi++uorqe3u7u5wcnLCqlWrmjSecePGwc/PD2+//bbM90NCQrBv3z5ER0fDw8OjSWNrLBpREkLkEh8fDzc3N77DkLh16xbi4+PrvZ+uri7c3Nxw8uRJiMViBUSmeKWlpXj69CkGDBjAdygScXFxSEtLq/H9X3/9FSYmJpg/fz5a2viMEiUhRC4FBQXQ1dXlOwxO+Pr6IiMjo8XcW31dSUkJxGJxi3qYsoGBARYtWoSbN2/iwIEDfIdTL5QoCSG1mjBhAry9vSEUChEWFgZvb294e3vj2bNnte5XVlaGdevWwdXVFWZmZrCyssLEiRPx77//ymwvEomwdetWuLm5oVOnTujevTuCg4Nx7tw5qXahoaHw9vbGjRs3cOTIEUk89Rml+Pr6AkCLXLbg7OyMIUOGAABmzpwJR0dHODo6QigU1rpfTk4OFi5cCGtra6ipqcHAwACjR4+u8Y+FvLw8LFu2DD169ICGhgZMTU3h5eWFM2fOVIvH0dERjx49Qnh4OBwdHSXf39e9//77sLGxwdKlS1FWVtaAs+eHGt8BEEKat9DQUBQVFSEmJgYeHh4YNGgQANRa+LqgoABBQUFITEzE0qVL0adPH2RnZ2Pbtm1wdHTEvn37MHLkSEn74uJi+Pj4ID09HZ999hl69+6Nly9f4tChQxg2bBj27t2LMWPGAGDvdQmFQnz99dfo2LEjpk6dWu9zsrOzg42NDSIiIvDZZ5/Ve38+hYWFQSgUIigoCDNmzEDv3r0BABoaGjXuk5ycDE9PT5iammLjxo2wtbVFamoqwsPD4eLigsOHD8Pf31/SPj09HQMHDoSFhQV+/vln9OjRA9nZ2di+fTt8fHxw7NgxSfuwsDAwDIPp06fD09MT48ePrzEWdXV1LF68GO+++y6OHDmCsWPHcvidUSCGEELkoKenx+zevbva9tDQUCY0NFRq2wcffMDY2NgwmZmZ1dqvWLGC0dXVZRITEyXbVq1axbRv315m+zlz5jDW1tbVtg8bNoyZPXt2Q06FYRiGee+99xg1NTUmNze3wX3wJS8vjwHAnDt3rtp7bm5uzPz586W2DRs2jBk0aBBTXFxcrf3ixYsZQ0NDqe/9rFmzGAcHB5ntJ0+ezDg5OVXb3qtXL2blypV1xl5UVMQYGBgww4cPr7Ntc0GXXgnhyLlz5/DixQu+w+Dd8+fPsWHDBqxevVrmcpn//e9/kpFKBUtLS6xatUpm+8DAQDx58gS5ubmcxunj44Py8nKpS4nl5eXIysri9Dh8u3PnDiIjIxEeHi5zpLds2TJoa2tj06ZNkm3+/v5Ys2aNzPa+vr41Xj6Xh6amJsaNG4fTp0/XOvmnOaFESQhH+RibrQAAEJdJREFUgoKCEBcXx3cYvIuKioJYLJa6lFeVqqoqxo4dK7WOcdy4cZg8ebLM9gYGBgDA2WL1goICAICXlxc0NDRw+vRpAMCTJ0/w5ptvYuvWrZwcp7k4ffo0unbtijfeeEPm++rq6ggMDJS6FxwQEAAvLy+Z7fX09FBSUtKomKZMmYLy8nLs3r27Uf00FbpHSQhHmFZQmUceycnJMDc3r/WeWbdu3ZCUlCS1TSQS4dChQ4iKikJKSgoyMzMBoM5JKvW1bt06rFu3DgMHDkTHjh2xb98+3Lt3D0+ePEFeXh7c3d05PR7fUlJSYGNjU2ubLl264MKFC1Lb8vLysHHjRly8eBHPnj2TXC3h4ufh6uoKGxsbHD16FPPmzZNsj4qKgpeXV7P7f0SJkhCOUKJklZaWQkdHp9Y2GhoaKC8vl3ydlZWF4cOHIysrCzNnzsSoUaNgamoKALh//76kqAEXZs+ejc2bN0sVSLh8+TIAwNraWjI5RlmUl5dDJBLV2kZVVVVqTWlcXByGDRsGS0tLvPfee+jVq5dkZH/27FnMmDGjQbEUFRXB1dUVc+fOxYABA3Dw4EG8ePECf//9N8LCwvDgwYNm+fBzSpSEEE6ZmpoiMTGx1j8cUlJS0KFDB8nX8+bNg1gsxu3bt6vNpuX6jw9NTU18/PHHmDdvXrXRkZGREdTV1Tk9Ht/MzMzqfFpKUlISOnXqJPl6xowZcHR0xKFDh6CqqirVtjG3F7S0tGBiYoJp06ZBV1cXJSUlsLOzQ35+PoRCIUaPHt3gvhWJ7lESwhEaUbIGDBgAoVCIO3fu1NgmMjISgwcPlvp65syZMpecKGK93cyZM9GtW7dq2y0sLDg/Ft8GDx6Mp0+fVrvUXYFhGEREREiqLpWVleHKlSuYPHlytSQJNP5e8cqVK6Gnp4ecnBwAQEZGBoRCIbS0tBq01KcpUKIkhCOUKFk9e/bEkCFDsGTJEplFAC5cuIDIyEhMmzZNss3IyAiJiYnV2opEIoSFhQGA1KVaANDW1m7w/TKBQIBvvvkGhoaGkm0qKio1TmBpyYYMGQIHBwcsWLBA5s9j06ZNSE5OxpQpUwCwT1gxNjbGkydPqrXNz8/HihUrwDBMtZ+Hrq6uXE9kcXJyknnPtEOHDs22BiwlSkI4Ym1tXesEltZk48aNiI2NRUhIiKSCT3l5Ofbv34+RI0di7ty5cHV1lbSfPHkyfvjhB+zfvx+lpaUoLy9HbGws/Pz8kJ2dDYCdXFKVvb09zp492+DlHL6+vrCzs5N8bWhoqHQTeQD2D4CdO3ciKioKISEhSEhIAMAu4wkLC8Ps2bPxyy+/wNLSUrLP9OnT8eWXX2LXrl3Izc1FRkYGDh48CBcXF3Ts2BEAqi2FcnBwwJEjR5CSkoLCwsJa6+jOnTu3WjlES0tLaGpqcnXa3OJtBSchpEWpT8EBhmGYBw8eMP7+/oyamhpjZmbGaGtrM5aWlsy6deuqtRWJRMzSpUsZLS0tRk1NjVFTU2NMTU2ZlStXMoWFhYyamhqzc+dOqX2ePXvGdO/enVFVVWW0tLSY27dv1/ucbt26xejr6zMAGHNzc0YkEtW7Dz7k5+czhoaGzKVLl6q9FxAQwCxbtqza9gcPHjAjRoxgNDQ0GDU1NQYA4+rqypw+fbpa27KyMuaLL75g2rZtywBgADC9e/dm9u/fz6SmpjKGhobM+fPnpfZ59OgRY2dnJ2kvq3hEBbFYzNjb20vaCgQCZvXq1Q34TjQNeswWIUShcnNzkZSUBENDQ5ibm0MgqPlCVmlpKR4/fgyBQIAuXbrIvEdWVXl5OR49egQNDQ1YWFjU2V6WIUOG4NKlS+jZsyf++++/eu/f0hQXFyMzMxOmpqZyjeDS0tKgra1da8nCqtLT06Gvrw9tbe1a261YsQLLli2DWCyGmZkZrl+/LjWhqDmhREkIadWSkpLg4uICd3f3FrMAXhkIhUJYW1sjMzMTdnZ2uHfvHt8h1YgSJSFEpvi8RITGtKyC4Q2VmJgIfX19tGvXrt77vmHYHVtcvuA+qNecy7iGabHLFX6cppSZmYmCggLo6enJLF8oj49sJ+BjuxCOI5NG6ygJITIJRcW4kdN8/8rnlD7wHEV4kpNR7101VJtm3aWwvBiPC2p/tFmLow1AWx35KEF+A88ttzSv7kaNRImSEFKnYEt3GKjr8R1GsxKbdQfxLxN5OfZ7dmOhIVCuwgj1tf3hMbwozW+SY1GiJIQjubm50NfXb9CEkubuf2+8A7u21nyH0azMv7aGt0S5wOGdVv+Hy/HkC02WKGkdJSEcMTY2btTjhwghzRMlSkI4wlBlHkKUEiVKQjhCiZIQ5USJkhBCCKkFTeYhhEM0olScsrIyZKSlo6ysHKbtTaGjW/szL0klkUiExwmPkPcyD20N2sKmW5daKyTJI+9lHpISn6K0pBQWVpYwMW3YOsiWgBIlIRyoqNvR2hNlfl4+elvZ19nu6v2bcv9ijY+7j7DPVyDqZCSKXj0tRFVVFU6uzlj45WIM8RjaqJiVmUgkwo/frMFvP4bjefZzyXZjE2N8OO9jfDjvo3onzKTEJCz6eD6iTkZKPUHE0cUJK3/4Fo4uTpzF31xQoiSEA1TgipWemoYXuS/qbMfU8mSJqi6evYCQoLcgLBRCW0cbfZ37QUtLC3du/YPYy39hlHcQ1m75FROmhDY2dKU0d9Yc7Ni4DSoqKnAdPAAWnS3x5NFjXPvrb3zxv6VIfZaCb37+Tu7+MtLS4T94GFKfpUC/rT6Gerqhjbo6rlyMwfXYawjyGI5jZ08oXbKkREkIBwQCASVLAGmpaQAAi86WOHr2RI3tjEyM6+wrPy8f746bAmGhEP7Bw/Hr9g3Qb6sPAHie/RzTxr+NC2fOY8GHczFsuC+MjI24OQklEXv5L+zYuA0CgQBbD+5E4KggyXsHdu3DrMkzsPGX9Zjwdih6931Trj6/XrIcqc9S0M2uO45fiJBcFSguKsKUMZMQdfI05n/wKc7duKSQc+ILTeYhhHAm/VWiNLc0h5WNVY0veYoyHNp7EM+zn6OdUTus3bJOkiQBwMjYCOt2bICamhoKCwpx9nS0ws6ppdq9dScAwD94uFSSBIC3Jo6H+zBPMAyDPVt3ydVfkVCIw/sOAQCWf7dC6tK5ppYWvl/3AwQCAf65eRv/3r7D0Vk0D5QoCSGcSU9NBwB0sjBvdF83r90AADi5OsOwnWG19806doB1Vxup45JKVy5cBgD4BPjJfN8nwJdtdzFGrv5uXruJIqEQGhoacB/mUe19c0sL9OrtUK8+Wwq69EoI4UzFiLKjecdG9zXp3Snw9PFCZxurGtuUlpRwdjxlUlpaiqTEJACAeWcLmW0sOlsCAB7GJ8i1BvhhfAIAoH2H9lBXl11n1tzSHHdu/YOE+w8aGnqzRImSEMKZinuUmpqaWPvdT7h1/SZyc3LRoWMH+AT4InB0sNyzLJ1cnWt9Pz7uPp4+eQoNTU0M9XJvdOzKJO9lHkQiEQDAtL2pzDbGr+4Tl5SUQFgorHO5TcUkLZMa+gMA41eXY3Nzcusdc3NGiZIQwpmKEeWq5d9Ue2/fjj0Y7D4Eu47sg55+4wt6L5nLPitz/OQJkl/6hFWxjAYAtLS1ZbbR1dOVfC4sLKwzUVb0qV1DfwCgo6sr6U+Z0D1KQghnMtPZ5zmaW1rgi2+/wt4/D+Knjb8gYGQgAODSuYuYO2tOo4/z86ofcSYiCibtTbEs7MtG96dsFDEBW55Z3cq6jpgSJSEcKCkpQbt27fDw4UO+Q+HVhVtXsP/E77h8JxYfLZgDnwBfTJo2BTsO78Eni+YCYGezNuYe1qljJ/HVZ19ATU0Nv+3YIHOiDyFcokRJCAcYhkFubm6rX0upq6cLb38fqaUcFRZ8vgjtjNqBYRhER0Q1qP+/r1zFtAnvQCQSYcUP38B9mGdjQ1ZKAkHlyE4sR3EHVbW678JVjBZr66/i37+aHP21JJQoCeEAlbCrm4aGBnq+0QsA8PRxYr33j4+7jwmBY1EkFOKTRXMx/cOZHEeoPPT0K/9QeVHDxJqqE26q3q+suU+9avu9ruJYunrK9VBpSpSEcKC1jyTl1dagLQB2+UJ9pKWkYqzfKOTm5GLStClYsuJzRYSnNPT09aCppQUAeJ6dLbNNxf1kw3aGNS73qMrUrD0AIDtLdn8AkPGqT1OzmmfGtkSUKAnhUGseUW4K34C+XRzw8fQPa2yT+Gok2f7VL115vHzxEmN8R+JZUjICRwdjzW8/tervszwEAgF69GKL09+/e19mmwev7hPb9ewhV5/2Dj0BANmZWVIF1ququPdsay9fny0FJUpCOECXXoEu3bog8XEijhw4jJznOdXefxifgLh/7wIAXAYPkKvPkuJihAS9hXv/xWGopxs27N4sV/k7Anj7eQNg67q+fl9RJBLh0N6DAAAvv2Fy9Wfv0BOdLMwhFotxYNe+au/HXv4LyU+TIBAI4OmjXPeOKVESwgG69AoM9hgKW3s7STHztJRUyXtJiUmYOm4KxGIxevV2kHo01sP4BEyb8A5+CPteqj+RSITpIVPx16Ur6OPUDzv/2AsNDY0mO5+WbvL0t6GlrY27d/7D3FlzUFjArm0UFgoxd9YcPLgXDx1dHUycOklqv0vnLmKEZ0C1n4eKigpmfvQeAGDFkuWI+POU5L17/8Xhg7fZe8bBY0eifQczRZ5ak6NESQgHtLW1cf36dXTq1InvUHijpqaGzfu2wcjYCBfOnEcfGwe49nSCY7fe6GPTC//98y9MTE2wYfdmqZH3bz/9isP7fsdXn32B5KdJku0Rf57C8T/+BADcunYDlvod0E5Fr8bXyaM1P62kNepo3glrfvsRAoEA2zdsRVcTK/Tt4oCuJlbYsXEbVFVV8eOGtdUq7az74RdcPHsBXy/+EiWvSgRWmPHRLHj4eEFYKERI0FvobmoNB8seGOjQH08ePYFNVxuE/fhtU55mk1CuObyE8EQgEKBfv358h8E7e4eeuPTPX1i1/BucOHIc8XHs/TGT9qYIGBmIeUsWoEMn6bqsXn7D8Oeho+jRyx5mHTtItqurt4FVLXVeX6ejU3PFmNZq3KQJsOnaBWu/+xFXY2KRlJgEIxNjePsPw8cLPkFf5+r/Zt+aOB4J8QkY6ulWbQSvrq6OvX8ewJZ1m3Bg137Ex91Dfn4Butp2Q8DIQMxZOFfm0qCWToWha0aEEBlu5d5H35MTAABXAnbArq11vfsoLCiEQKBSYxm1lmz+tTXY/OAPDDDpjZhh2xR+vBMplxBw/iMAwOOxJ2GgrlxLMOrL6dgEPMp/hs8dZuKLN95T6LFoREkIUZi66ocS0hLQPUpCCCGkFpQoCSGEkFpQoiSEEEJqQfcoCeFAQUEBRo4ciT179sDExITvcDj37Z2trX7yyOtis+7wduwP/1qJNoI2vB2/OUgvkl0dSBEoURLCgdLSUkRHR9e7hmlLcTTpHN8hkCpOPrvMdwitCiVKQjigjKustFU10a+dctXsVARbfasmOY6xhgG8zPo3ybFaEhtdc4Ufg9ZREsKB58+fw9jYGCkpKejYsWPdOxBCWgyazEMIB+jvTUKUFyVKQjjQtm1bREVFwcjIiO9QCCEco0uvhBBCSC1oREkIIYTUghIlIYQQUov/A0uGQdbFVdV8AAAAAElFTkSuQmCC
# Changement de la valeur associée à la clé "Ki"
correcteur["Ki"] = 0.7
print(f"{id(correcteur)=}, "f"{correcteur=}")
id(correcteur)=1669253795392, correcteur={'Kp': 5.2, 'Ki': 0.7}
data:image/png;base64,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
# Ajout d'une nouvelle clé "Kd" avec une valeur associée
correcteur["Kd"] = 2.6
print(f"{id(correcteur)=}, "f"{correcteur=}")
id(correcteur)=1669253795392, correcteur={'Kp': 5.2, 'Ki': 0.7, 'Kd': 2.6}
data:image/png;base64,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
# Suppression de la clé "Ki"
del(correcteur["Ki"])
print(f"{id(correcteur)=}, "f"{correcteur=}")
id(correcteur)=1669253795392, correcteur={'Kp': 5.2, 'Kd': 2.6}
data:image/png;base64,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

10.5 Constructeur d’instances de classe dict()#

Le constructeur d’instances dict() accepte plusieurs configurations d’arguments.

Syntaxe : dict()
Sans argument un dictionnaire vide est instancié.
Exemple :

dict()  # donne {}, le dictionnaire vide

Syntaxe : dict(<arg_nom_1>, <arg_nom_2>, ... <arg_nom_n>)
où les <arg_nom_i> sont des arguments nommés à la syntaxe <nom_1>=<argument_i>
Sémantique : renvoie un objet vide de type dict auquel sont ajoutés des éléments construits à partir des <arg_nom_i> lus de gauche à droite. En lisant <arg_nom_i>, la valeur <argument_i> indicée par la clé <nom_1> est ajoutée au dictionnaire. Dans ce cas de figure les clés sont obligatoirement des chaines de caractères
Exemple :

dict(un=1, deux=2)  # donne {'un': 1, 'deux':2}

Syntaxe : dict(di, <arg_nom_1>, <arg_nom_2>, ... <arg_nom_n>)
di est un dictionnaire et les <arg_nom_i> sont des arguments nommés optionnels
Sémantique : renvoie une copie de di auquel sont ajoutés des éléments construits à partir des <arg_nom_i> lus de gauche à droite.
Exemple :

di = {"un": 1, "deux":2}
dict(di, trois=3)  # donne {'un': 1, 'deux':2, 'trois':3}

Syntaxe : dict(<itérable>, <arg_nom_1>, <arg_nom_2>, ... <arg_nom_n>)
<itérable> est un objet itérable (liste, n-uplet…) composé de n-uplets de type (<clé>, <valeur>) et les <arg_nom_i> sont des arguments nommés
Sémantique : renvoie un objet vide de type dict auquel sont ajoutés des éléments construits à partir des n-uplets de type (<clé>, <valeur>) issus de l’<itérable>, auquel sont ensuite ajoutés des éléments construits à partir des <arg_nom_i> lus de gauche à droite.
Exemple :

li = [
    ("un", 1), 
    ("deux", 2),
]
dict(li, trois=3, quatre=4)  # donne {'un': 1, 'deux':2, 'trois':3, 'quatre':4}

La type de donnée dict dispose d’une méthodes de classe nommée dict.fromkeys() pour construire une instance de dictionnaire. On parle de méthode de classe car fromkeys() ne s’applique pas aux dictionnaires (instance de la classe dict) mais directement à leur classe dict.

Syntaxe : dict.fromkeys(<itérable>)
Sémantique : renvoie un dictionnaire avec les clés issues de l’ et leurs valeurs associées égales à None
Exemples :

dict.fromkeys(["un", "deux"])  # renvoie {'un': None, 'deux': None}
dict.fromkeys(range(3))  # renoie {0: None, 1: None, 2: None}


</itérable></arg_nom_i></itérable></clé></arg_nom_i></clé></itérable></arg_nom_n></arg_nom_2></arg_nom_1></itérable></arg_nom_i></arg_nom_i></arg_nom_n></arg_nom_2></arg_nom_1></nom_1></argument_i></arg_nom_i></arg_nom_i></argument_i></nom_1></arg_nom_i></arg_nom_n></arg_nom_2></arg_nom_1>

10.6 Expression avec les dictionnaires#

Il est possible de construire des dictionnaires à partir d’expressions à base de l’opérateur de fusion de dictionnaire | (depuis Python 3.9)

  • {"un":1, "deux":2} | {"trois":3, "quatre":4}
    donne {"un":1, "deux":2, "trois":3, "quatre":4} (fusion de deux dictionnaires)

Bien qu’elles ne renvoient pas un dictionnaire, les fonctions suivantes s’appliquent aux dictionnaires :

  • len(di) renvoie le nombre d’éléments du dictionnaire di
    exemple : len({"un":1, "deux":2, "trois":3}) renvoie 3 (nombre de paires clés-valeurs)

  • list(di) renvoie une liste de toutes les clés utilisées dans le dictionnaire di
    exemple : list({"un":1, "deux":2, "trois":3}) renvoie [‘un’, ‘deux’, ‘trois’]

  • reversed(di) renvoie un itérateur inversé sur les clés du dictionnaire di

10.7 ⚙️ Exercice - Expressions avec des dictionnaires#

Proposer une expression unique pour tous les dictionnaires di_1 qui construit une nouvelle liste, telle que

  • son 1er élément à pour clé "taille" et pour valeur la est la taille du dictionnaire di_1

  • les éléments qui suivent sont les éléments de di_1

  • son dernier élément à pour clé "dico" et pour valeur le dictionnaire di_1

Exemple pour di_1

Nouveau dictionnaire attendu

{1: "a", 2: "b"}

{'taille': 2, 1: 'a', 2: 'b', 'dico': {1: 'a', 2: 'b'}}

{3: 4, 4:[1, 2], 5: 3}

{
    'taille': 3,
    3: 4,
    4: [1, 2],
    5: 3,
    'dico': {3: 4, 4: [1, 2], 5: 3}
}

di_1 = {1: "a", 2: "b"}
di_1 = {3: 4, 4:[1, 2], 5: 3}

# Insérez votre code ici

10.8 Attribut-Méthodes de dictionnaires#

10.8.1 Sélection de méthodes de dictionnaires#

La liste qui suit rassemble les méthodes de dictionnaires les plus couramment utilisées.

  • get(clé, defaut=val) renvoie la valeur associée à la clé clé si elle est dans le dictionnaire, sinon renvoie val. Le deuxième argument est optionnel, s’il est omis la valeur None est renvoyée si clé n’est pas dans le dictionnaire.

di_1 = {"un": 1, "deux": 2, "trois": 3, "quatre": 4}
di_1.get("trois")  # donne 3
di_1.get("cinq")  # donne None
di_1.get("cinq", "clé inconnue")  # donne 'clé inconnue'
  • update(arguments) met à jour le dictionnaire avec les paires de clé-valeur de arguments, écrasant les clés existantes. arguments peut être un dictionnaire, un objet itératble sur des paires de clé-valeur ou des arguments nommés, exemple di.update(un=1, deux=2)

di_1 = {"un": 1, "deux": 2}
di_2 = {"trois": 3, "quatre": 4}
di_1.update(di_2)

di_1.get("trois")  # donne 3
di_1.get("cinq")  # donne None
di_1.get("cinq", "clé inconnue")  # donne 'clé inconnue'
  • pop(clé) renvoie la valeur associée à la clé clé, puis supprime la clé et sa valeur du dictionnaire. Si la clé n’est pas dans le dictionnaire, une erreur KeyError est levée.

  • popitem() supprime et renvoie la dernière paire (clé, valeur) ajoutée au dictionnaire.

di_1 = {"un": 1, "deux": 2, "trois": 3, "quatre": 4}
di_1.popitem()  # donne ('quatre', 4), le dernier élément de di_1
                # di_1 est maintenant {"un": 1, "deux": 2, "trois": 3}
di_1.popitem()  # donne ('trois', 3), le dernier élément de di_1
                # di_1 est maintenant {"un": 1, "deux": 2}
di_1.pop("un")  # donne 1, la valeur associée à la clé "un"
                # di_1 est maintenant {"deux": 2}
  • keys() renvoie une vue sur les clés du dictionnaire. Une vue sur un dictionnaire est un objet itérable qui est dynamique, c’est-à-dire qui est mis à jour lorsque le dictionnaire est modifié.

di_1 = {"un": 1, "deux": 2, "trois": 3, "quatre": 4}
iter_di_1 = iter(di_1.keys())  # itérateur sur les clés du dictionnaire
next(iter_di_1)  # donne "un"
next(iter_di_1)  # donne "deux"
next(iter_di_1)  # donne "trois"
  • copy() renvoie un dictionnaire qui est la copie superficielle du dictionnaire. Une copie est dite superficielle si elle copie le conteneur, mais pas les éléments contenus.

correcteur_1 = {'Kp': 5.2, 'Kd': 2.6, 'Ki': 0.7}
correcteur_2 = correcteur_1.copy()  # assigne à correcteur2 une copie de correcteur1

La figure suivante illustre l’espace des noms et l’espace des objets après la copie. On notera que la copie est superficielle. Le conteneur a bien été dupliqué, mais pas les clés ni les valeurs.

data:image/png;base64,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
di_1 = {"un": 1, "deux": 2}
di_2 = {"trois": 3, "quatre": 4}
di_1.update(di_2)  # fusion de di_2 dans di_1
                   # donne di_1 = {'un': 1, 'deux': 2, 'trois': 3, 'quatre': 4}
di_1.update([("cinq", 5), ("deux", 0.2)])  # fusion de la liste de couples dans di_1
di_1
{'un': 1, 'deux': 0.2, 'trois': 3, 'quatre': 4, 'cinq': 5}

10.8.2 🟨 Toutes les méthodes de dictionnaires#

Les attributs-méthodes (méthodes) des objets de type dictsont listées ci-dessous en trois catégories : les méthodes qui en extraient des informations des dictionnaires, celles qui modifient les dictionnaires et celles qui construisent un nouveau dictionnaire.

Obtenir des informations sur un dictionnaire

  • get(clé) renvoie la valeur associée à la clé clé si elle est dans le dictionnaire, sinon renvoie None

  • get(clé, defaut=val) renvoie la valeur associée à la clé clé si elle est dans le dictionnaire, sinon renvoie val

  • items() renvoie une vue les éléments du dictionnaire (paires de (clé, value)). Une vue sur un dictionnaire est un objet itérable qui est un objet dynamique, c’est-à-dire qui est mis à jour lorsque le dictionnaire est modifié.

  • keys() renvoie une vue les clés du dictionnaire. Une vue sur un dictionnaire est un objet itérable qui est dynamique, c’est-à-dire qui est mis à jour lorsque le dictionnaire est modifié.

  • values() renvoie une vue les valeurs du dictionnaire. Une vue sur un dictionnaire est un objet itérable qui est dynamique, c’est-à-dire qui est mis à jour lorsque le dictionnaire est modifié.

Modifier un dictionnaire

  • setdefault(clé) si la clé clé est dans le dictionnaire, sa valeur est renvoyée, sinon, la méthode insère la clé clé dans le dictionnaire et l’associe à la valeur None

  • setdefault(clé, default=valeur_par_defaut) si la clé clé est dans le dictionnaire, sa valeur est renvoyée, sinon, la méthode insère la clé clé dans le dictionnaire, l’associe à la valeur valeur_par_defaut et renvoi valeur_par_defaut

  • update(arguments) met à jour le dictionnaire avec les paires de clé-valeur de arguments, écrasant les clés existantes. arguments peut être un dictionnaire, un objet itératble sur des paires de clé-valeur ou des arguments nommés, exemple di.update(un=1, deux=2)

  • pop(clé) renvoie la valeur associée à la clé clé, puis supprime la clé et sa valeur du dictionnaire. Si la clé n’est pas dans le dictionnaire, une erreur KeyError est levée.

  • pop(clé, valeur_par_defaut) renvoie la valeur associée à la clé clé, puis supprime la clé et sa valeur du dictionnaire. Si la clé n’est pas dans le dictionnaire, la méthode renvoie la valeur valeur_par_defaut.

  • popitem() supprime et renvoie la dernière paire (clé, valeur) ajoutée au dictionnaire.

  • clear() supprime tous les éléments du dictionnaire.

Dupliquer un dictionnaire

  • copy() renvoie un dictionnaire qui est la copie superficielle du dictionnaire. Une copie est dite superficielle si elle copie le conteneur, mais pas les éléments contenus.

10.9 ⚙️ Exercice - Méthode de dictionnaire#

Le dictionnaire repertoire est un répertoire téléphonique fourni. Ses clés sont des noms d’individus et ses valeurs des dictionnaires contenant des informations sur les individus, pas forcément tous les mêmes.

Construire des chaines de caractères à partir de la clé cle pour produire les résultats donnés dans le tableau ci-dessous. La technique de construction devra fonctionner de manière identique pour toutes les clés présentes dans le dictionnaire (on ne traite pas les cas ou la clé cle qui n’existe pas dans repertoire). Struture du code attendu :

"{} {} {} ...".format(expression_1, expression_2, expression_3, ...)

cle

Chaine de caractère attendue

"Tintin"

'Tintin  - 26, rue du Labrador, Bruxelles - tél: inconnu'

"Lagaffe"

'Lagaffe Gaston - adresse inconnue - tél: +32 01 02 03 04 05'

repertoire = {
    "Tintin": {
        "adresse": "26, rue du Labrador, Bruxelle",
    },
    "Lagaffe": {
        "prénom": "Gaston",
        "téléphone": "+32 01 02 03 04 05",
    },    
}  # dictionnaire imbriqué

cle = "Tintin"
#cle = "Lagaffe"

# Insérez votre code ici
'Tintin  - 26, rue du Labrador, Bruxelle - tél: inconnu'

10.10 Agencements en compréhension de dictionnaires#

Les dictionnaires par agencement en compréhension suivent les mêmes règles que les listes ou les n-uplets, les seules différences sont les délimiteurs, et la syntaxe de l’expression de l’élément inséré. Les délimiteurs sont le délimiteur de dictionnaires { } et la syntaxe de l’élément est clé: valeur

Exemples

{n: n**2 for n in range(6)}  # donne {0: 0, 1: 1, 2: 4, 3: 9, 4: 16, 5: 25}

{
    n: f"{n:02X}" for n in range(10, 16)
}  # donne {10: '0A', 11: '0B', 12: '0C', 13: '0D', 14: '0E', 15: '0F'}

10.11 Comparaisons de dictionnaires#

Deux dictionnaires sont égaux si et seulement s’ils ont les mêmes paires de clé-valeur, peu importe leur ordre.

Exemples

{1: "un", 2: "deux", 3: "trois"} == {2: "deux", 1: "un", 3: "trois"} # donne True

{1: "un", 2: "deux", 3: "trois"} != {1: "un", 2: "two", 3: "trois"} # donne True
{1: "un", 2: "deux", 3: "trois"} != {1: "un", 3: "trois"} # donne False

Les comparaisons d’ordre <, <=, >= et > ne sont pas définies.

{1: "un", 2: "deux", 3: "trois"} != {1: "un", 2: "two", 3: "trois"}
True

11. - Ensembles#

12. Instructions composées#

12.1 Introduction#

Jusqu’à présent les instructions Python étudiées étaient des instructions simples par opposition aux instruction composées. Parmi les instructions simples ont peut citer :

  • les expressions (arithmétique, comparaisons, …),

  • les assignations,

  • la suppression de référence del,

Les instructions composées, quant à elles, contiennent d’autres (groupes d’) instructions ; elles affectent ou contrôlent l’exécution de ces autres instructions d’une manière ou d’une autre.

La figure suivante illustre la syntaxe d’une instruction composée.

  • Une instruction composée comporte une ou plusieurs “clauses”

  • Une clause se compose d’un en-tête et d’une “suite”

  • Chaque en-tête de clause commence par un “mot-clé” spécifique et se termine par le caractère deux-points :

  • Une “suite” est un groupe d’instructions contrôlées par une clause

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

Les en-têtes des clauses d’une instruction composée particulière sont toutes placées au même niveau d’indentation.

Les suites se composent d’une ou plusieurs instructions en retrait (niveau d’identation supplémentaire) sur les lignes suivantes

12.2 Instruction composée if#

L’instruction if est utilisée pour exécuter des instructions en fonction d’une condition

Syntaxe : l’instruction composée if est contituée de :

  • 1 clause “if” : if <expression_de_test>: <suite>

  • 0 à n clauses “elif” : elif <expression_de_test>: <suite>

  • 0 à une clause “else” : else: <suite>

Sémantique : L’instruction composée if sélectionne exactement une des suites en évaluant les expressions <expression_de_test> une par une jusqu’à ce qu’une soit vraie. Ensuite cette <suite> est exécutée (et aucune autre partie de l’instruction if n’est exécutée ou évaluée) Si toutes les expressions <expression_de_test> sont fausses, la suite de la clause “else”, si elle existe, est exécutée.

</expression_de_test></expression_de_test></expression_de_test></expression_de_test>

x = 12
# ═════ début d'une instruction composée ═══╗
#┌──────── début d'une clause  ───────────┐ ║
if x < 0:             # <-- entête        │ ║
    print("négatif")  # <- suite indentée │ ║
#└────────────────────────────────────────┘ ║
#┌──────── début d'une clause  ───────────┐ ║
elif x == 0:          # <-- entête        │ ║
    print("nul")      # <- suite indentée │ ║
#└────────────────────────────────────────┘ ║
#┌──────── début d'une clause  ───────────┐ ║
else:                 # <-- entête        │ ║
    print("positif")  # <- suite indentée │ ║
#└────────────────────────────────────────┘ ║
# ══════════════════════════════════════════╝  
positif

12.3 ⚙️ Exercice - Instruction if#

Créer à l’aide d’une instruction composée if, puis afficher, le booléen b_1 définit par le tableau suivant :

Nom

Type

Description de l’objet

valeurs attendues

b_1

booléen

Soit \(a \in \mathbb{Z}\)
$\( b_1 = \left \{ \begin{array}{l} \text{vrai, si } \; a^2 - 1 \; \text{est un multiple de 3} \; \\ \text{vrai, si } \; a^3-1 \; \text{est un multiple de 5} \\ \text{faux, sinon} \end{array}\right . \)$

Quelques valeurs exactes
\(a = -4 \implies b_1\) est vrai
\(a = -3 \implies b_1\) est faux
\(a = 0 \implies b_1\) est faux
\(a = 1 \implies b_1\) est vrai
\(a = 3 \implies b_1\) est faux
\(a = 4 \implies b_1\) est vrai

a = -4

# Insérez votre code ici

12.4 Instruction composée for#

L’instruction composée for est utilisée pour itérer sur les éléments d’une séquence (par exemple une chaine, un n-uplet ou une liste) ou un autre objet itérable

Syntaxe : l’instruction composée for est constituée de :

  • 1 clause “for” : for <nom_cible> in <expression>: <suite>

  • 0 à une clause “else” : else: <suite>

Sémantique : L’expression <expression> n’est évaluée qu’une seule fois ; elle doit produire un objet itérable. Un itérateur est créé pour cet itérable. Le premier élément produit par l’itérateur est assigné au nom à la liste cible <nom_cible>, puis la <suite> est exécutée. Lorsque les éléments de l’itérateur sont épuisés, la <suite> de la clause “else”, si elle existe, est exécutée et la boucle se termine.

  • Une instruction break exécutée dans la première suite termine la boucle sans exécuter la suite de la clause “else”.

  • Une instruction continue exécutée dans la première suite saute le reste de la suite et continue avec l’élément suivant, ou avec la clause “else” s’il n’y a pas d’élément suivant.

Exemple :</nom_cible></nom_cible>

# ═════ début d'une instruction composée ═══╗
#┌──────── début d'une clause  ───────────┐ ║
for i in range(4):    # <-- entête        │ ║
    print(f"{i = }")  # <- suite indentée │ ║
#└────────────────────────────────────────┘ ║
#┌──────── début d'une clause  ───────────┐ ║
else:                 # <-- entête        │ ║
    print("fin !")    # <- suite indentée │ ║
#└────────────────────────────────────────┘ ║
# ══════════════════════════════════════════╝  
i = 0
i = 1
i = 2
i = 3
fin !

12.5 ⚙️ Exercice - Instruction for#

Proposer un code utilisant l’instruction composée for qui pour chaque nombre entier positif et pair inférieur ou égal à 20 affiche une ligne de texte avec le nombre entier, son carré et son cube selon le format suivant :

n :  2 | Carré :   4 | Cube :    8

En utilisant l’instruction continue, proposer une variante de votre code qui n’affiche pas les lignes où le carré est un multiple de 10

En utilisant l’instruction break, proposer une variante de votre code qui termine l’affichage juste avant que le cube n’atteigne 2000

# Insérez votre code ici

12.6 Instruction composée while#

L’instruction composée while est utilisée pour exécuter des instructions de manière répétée tant qu’une expression est vraie :

Syntaxe : l’instruction composée while est constituée de :

  • 1 clause “while” : for <expression_de_test>: <suite>

  • 0 à une clause “else” : else: <suite>

Sémantique : L’expression <expression_de_test> est évaluée manière répétée et, tant qu’elle est vraie, exécute la première suite ; si l’expression est fausse (ce qui peut arriver même lors du premier test), la suite de la clause “else”, si elle existe, est exécutée et la boucle se termine.

  • Une instruction break exécutée dans la première suite termine la boucle sans exécuter la suite de la clause “else”.

  • Une instruction continue exécutée dans la première suite saute le reste de la suite et retourne au test de l’expression <expression_de_test>

Exemple :</expression_de_test></expression_de_test></expression_de_test>

i = 4
# ═════ début d'une instruction composée ═══╗
#┌──────── début d'une clause  ───────────┐ ║
while i > 0:          # <-- entête        │ ║
    print(f"{i = }")  # ├─ suite indentée │ ║
    i = i -1          # │                 │ ║
#└────────────────────────────────────────┘ ║
#┌──────── début d'une clause  ───────────┐ ║
else:                 # <-- entête        │ ║
    print("fin !")    # <- suite indentée │ ║
#└────────────────────────────────────────┘ ║
# ══════════════════════════════════════════╝  
i = 4
i = 3
i = 2
i = 1
fin !

12.7 ⚙️ Exercice - Instruction while#

Proposer un code utilisant l’instruction composée while qui pour chaque nombre entier positif et pair inférieur ou égal à 20 affiche une ligne de texte avec le nombre entier, son carré et son cube selon le format suivant :

n :  2 | Carré :   4 | Cube :    8

En utilisant l’instruction continue, proposer une variante de votre code qui n’affiche pas les lignes où le carré est un multiple de 10

En utilisant l’instruction break, proposer une variante de votre code qui termine l’affichage juste avant que le cube n’atteigne 2000

# Insérez votre code ici